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Finding the Fourth Proportional to 92,429.71, 138,740.28 and 56,916.61

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Solution

The fourth proportional to 92,429.71, 138,740.28 and 56,916.61 is: 85,433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,429.71 : 138,740.28 = 56,916.61 : x
  2. Step 2: Convert to fraction form
    92,429.71/138,740.28 = 56,916.61/x
  3. Step 3: Cross multiply
    92,429.71x = 138,740.28 × 56,916.61
  4. Step 4: Simplify right side
    92,429.71x = 7,896,626,408.05
  5. Step 5: Solve for x
    x = 7,896,626,408.05/92,429.71
  6. Step 6: Final answer
    x = 85,433.85

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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.