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Finding the Fourth Proportional to 102,496.80, 141,391.80 and 83,397.90

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Solution

The fourth proportional to 102,496.80, 141,391.80 and 83,397.90 is: 115,045.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,496.80 : 141,391.80 = 83,397.90 : x
  2. Step 2: Convert to fraction form
    102,496.80/141,391.80 = 83,397.90/x
  3. Step 3: Cross multiply
    102,496.80x = 141,391.80 × 83,397.90
  4. Step 4: Simplify right side
    102,496.80x = 11,791,779,197.22
  5. Step 5: Solve for x
    x = 11,791,779,197.22/102,496.80
  6. Step 6: Final answer
    x = 115,045.34

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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.