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Finding the Fourth Proportional to 268,099,597.02, 402,149,416.86 and 86,346,775.02

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Solution

The fourth proportional to 268,099,597.02, 402,149,416.86 and 86,346,775.02 is: 129,520,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,099,597.02 : 402,149,416.86 = 86,346,775.02 : x
  2. Step 2: Convert to fraction form
    268,099,597.02/402,149,416.86 = 86,346,775.02/x
  3. Step 3: Cross multiply
    268,099,597.02x = 402,149,416.86 × 86,346,775.02
  4. Step 4: Simplify right side
    268,099,597.02x = 34,724,305,222,034,616
  5. Step 5: Solve for x
    x = 34,724,305,222,034,616/268,099,597.02
  6. Step 6: Final answer
    x = 129,520,169.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.