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Finding the Fourth Proportional to 102,800.10, 141,785.87 and 88,484.30

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Solution

The fourth proportional to 102,800.10, 141,785.87 and 88,484.30 is: 122,040.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,800.10 : 141,785.87 = 88,484.30 : x
  2. Step 2: Convert to fraction form
    102,800.10/141,785.87 = 88,484.30/x
  3. Step 3: Cross multiply
    102,800.10x = 141,785.87 × 88,484.30
  4. Step 4: Simplify right side
    102,800.10x = 12,545,822,305.49
  5. Step 5: Solve for x
    x = 12,545,822,305.49/102,800.10
  6. Step 6: Final answer
    x = 122,040.95

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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.