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Finding the Fourth Proportional to 285,087.61, 427,712.16 and 142,761.07

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Solution

The fourth proportional to 285,087.61, 427,712.16 and 142,761.07 is: 214,182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,087.61 : 427,712.16 = 142,761.07 : x
  2. Step 2: Convert to fraction form
    285,087.61/427,712.16 = 142,761.07/x
  3. Step 3: Cross multiply
    285,087.61x = 427,712.16 × 142,761.07
  4. Step 4: Simplify right side
    285,087.61x = 61,060,645,613.61
  5. Step 5: Solve for x
    x = 61,060,645,613.61/285,087.61
  6. Step 6: Final answer
    x = 214,182.04

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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.