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Finding the Fourth Proportional to 285,081.52, 427,281.01 and 133,074.08

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Solution

The fourth proportional to 285,081.52, 427,281.01 and 133,074.08 is: 199,451.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,081.52 : 427,281.01 = 133,074.08 : x
  2. Step 2: Convert to fraction form
    285,081.52/427,281.01 = 133,074.08/x
  3. Step 3: Cross multiply
    285,081.52x = 427,281.01 × 133,074.08
  4. Step 4: Simplify right side
    285,081.52x = 56,860,028,042.74
  5. Step 5: Solve for x
    x = 56,860,028,042.74/285,081.52
  6. Step 6: Final answer
    x = 199,451.82

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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.