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Finding the Fourth Proportional to 142,534.62, 213,875.70 and 103,414.62

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Solution

The fourth proportional to 142,534.62, 213,875.70 and 103,414.62 is: 155,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,534.62 : 213,875.70 = 103,414.62 : x
  2. Step 2: Convert to fraction form
    142,534.62/213,875.70 = 103,414.62/x
  3. Step 3: Cross multiply
    142,534.62x = 213,875.70 × 103,414.62
  4. Step 4: Simplify right side
    142,534.62x = 22,117,874,242.73
  5. Step 5: Solve for x
    x = 22,117,874,242.73/142,534.62
  6. Step 6: Final answer
    x = 155,175.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.