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Finding the Fourth Proportional to 153,654, 230,519.88 and 42,846

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Solution

The fourth proportional to 153,654, 230,519.88 and 42,846 is: 64,279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,654 : 230,519.88 = 42,846 : x
  2. Step 2: Convert to fraction form
    153,654/230,519.88 = 42,846/x
  3. Step 3: Cross multiply
    153,654x = 230,519.88 × 42,846
  4. Step 4: Simplify right side
    153,654x = 9,876,854,778.48
  5. Step 5: Solve for x
    x = 9,876,854,778.48/153,654
  6. Step 6: Final answer
    x = 64,279.84

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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.