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Finding the Fourth Proportional to 102,129.57, 140,936.77 and 56,806.57

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Solution

The fourth proportional to 102,129.57, 140,936.77 and 56,806.57 is: 78,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,129.57 : 140,936.77 = 56,806.57 : x
  2. Step 2: Convert to fraction form
    102,129.57/140,936.77 = 56,806.57/x
  3. Step 3: Cross multiply
    102,129.57x = 140,936.77 × 56,806.57
  4. Step 4: Simplify right side
    102,129.57x = 8,006,134,490.58
  5. Step 5: Solve for x
    x = 8,006,134,490.58/102,129.57
  6. Step 6: Final answer
    x = 78,391.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.