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Finding the Fourth Proportional to 142,032, 213,011.55 and 42,169.03

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Solution

The fourth proportional to 142,032, 213,011.55 and 42,169.03 is: 63,242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,032 : 213,011.55 = 42,169.03 : x
  2. Step 2: Convert to fraction form
    142,032/213,011.55 = 42,169.03/x
  3. Step 3: Cross multiply
    142,032x = 213,011.55 × 42,169.03
  4. Step 4: Simplify right side
    142,032x = 8,982,490,442.30
  5. Step 5: Solve for x
    x = 8,982,490,442.30/142,032
  6. Step 6: Final answer
    x = 63,242.72

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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.