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Finding the Fourth Proportional to 142,412, 213,566.92 and 42,553.58

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Solution

The fourth proportional to 142,412, 213,566.92 and 42,553.58 is: 63,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,412 : 213,566.92 = 42,553.58 : x
  2. Step 2: Convert to fraction form
    142,412/213,566.92 = 42,553.58/x
  3. Step 3: Cross multiply
    142,412x = 213,566.92 × 42,553.58
  4. Step 4: Simplify right side
    142,412x = 9,088,037,015.57
  5. Step 5: Solve for x
    x = 9,088,037,015.57/142,412
  6. Step 6: Final answer
    x = 63,815.11

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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.