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Finding the Fourth Proportional to 285,371.74, 428,123.21 and 85,695.90

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Solution

The fourth proportional to 285,371.74, 428,123.21 and 85,695.90 is: 128,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,371.74 : 428,123.21 = 85,695.90 : x
  2. Step 2: Convert to fraction form
    285,371.74/428,123.21 = 85,695.90/x
  3. Step 3: Cross multiply
    285,371.74x = 428,123.21 × 85,695.90
  4. Step 4: Simplify right side
    285,371.74x = 36,688,403,791.84
  5. Step 5: Solve for x
    x = 36,688,403,791.84/285,371.74
  6. Step 6: Final answer
    x = 128,563.55

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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.