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Finding the Fourth Proportional to 102,691, 141,713.58 and 55,587

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Solution

The fourth proportional to 102,691, 141,713.58 and 55,587 is: 76,710.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,691 : 141,713.58 = 55,587 : x
  2. Step 2: Convert to fraction form
    102,691/141,713.58 = 55,587/x
  3. Step 3: Cross multiply
    102,691x = 141,713.58 × 55,587
  4. Step 4: Simplify right side
    102,691x = 7,877,432,771.46
  5. Step 5: Solve for x
    x = 7,877,432,771.46/102,691
  6. Step 6: Final answer
    x = 76,710.06

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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.