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Finding the Fourth Proportional to 268,201.10, 402,301.65 and 81,212.60

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Solution

The fourth proportional to 268,201.10, 402,301.65 and 81,212.60 is: 121,818.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,201.10 : 402,301.65 = 81,212.60 : x
  2. Step 2: Convert to fraction form
    268,201.10/402,301.65 = 81,212.60/x
  3. Step 3: Cross multiply
    268,201.10x = 402,301.65 × 81,212.60
  4. Step 4: Simplify right side
    268,201.10x = 32,671,962,980.79
  5. Step 5: Solve for x
    x = 32,671,962,980.79/268,201.10
  6. Step 6: Final answer
    x = 121,818.90

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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.