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Finding the Fourth Proportional to 159,698.60, 239,266.01 and 142,322.88

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Solution

The fourth proportional to 159,698.60, 239,266.01 and 142,322.88 is: 213,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,698.60 : 239,266.01 = 142,322.88 : x
  2. Step 2: Convert to fraction form
    159,698.60/239,266.01 = 142,322.88/x
  3. Step 3: Cross multiply
    159,698.60x = 239,266.01 × 142,322.88
  4. Step 4: Simplify right side
    159,698.60x = 34,053,027,985.12
  5. Step 5: Solve for x
    x = 34,053,027,985.12/159,698.60
  6. Step 6: Final answer
    x = 213,233.11

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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.