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Finding the Fourth Proportional to 103,428.30, 142,583.31 and 69,375.90

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Solution

The fourth proportional to 103,428.30, 142,583.31 and 69,375.90 is: 95,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,428.30 : 142,583.31 = 69,375.90 : x
  2. Step 2: Convert to fraction form
    103,428.30/142,583.31 = 69,375.90/x
  3. Step 3: Cross multiply
    103,428.30x = 142,583.31 × 69,375.90
  4. Step 4: Simplify right side
    103,428.30x = 9,891,845,456.23
  5. Step 5: Solve for x
    x = 9,891,845,456.23/103,428.30
  6. Step 6: Final answer
    x = 95,639.64

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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.