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Finding the Fourth Proportional to 103,202.58, 142,425.30 and 77,663

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Solution

The fourth proportional to 103,202.58, 142,425.30 and 77,663 is: 107,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,202.58 : 142,425.30 = 77,663 : x
  2. Step 2: Convert to fraction form
    103,202.58/142,425.30 = 77,663/x
  3. Step 3: Cross multiply
    103,202.58x = 142,425.30 × 77,663
  4. Step 4: Simplify right side
    103,202.58x = 11,061,176,073.90
  5. Step 5: Solve for x
    x = 11,061,176,073.90/103,202.58
  6. Step 6: Final answer
    x = 107,179.26

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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.