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Finding the Fourth Proportional to 68,683.38, 102,931.38 and 42,038.61

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Solution

The fourth proportional to 68,683.38, 102,931.38 and 42,038.61 is: 63,000.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,683.38 : 102,931.38 = 42,038.61 : x
  2. Step 2: Convert to fraction form
    68,683.38/102,931.38 = 42,038.61/x
  3. Step 3: Cross multiply
    68,683.38x = 102,931.38 × 42,038.61
  4. Step 4: Simplify right side
    68,683.38x = 4,327,092,140.58
  5. Step 5: Solve for x
    x = 4,327,092,140.58/68,683.38
  6. Step 6: Final answer
    x = 63,000.57

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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.