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Finding the Fourth Proportional to 153,565.40, 230,348.10 and 100,421.30

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Solution

The fourth proportional to 153,565.40, 230,348.10 and 100,421.30 is: 150,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,565.40 : 230,348.10 = 100,421.30 : x
  2. Step 2: Convert to fraction form
    153,565.40/230,348.10 = 100,421.30/x
  3. Step 3: Cross multiply
    153,565.40x = 230,348.10 × 100,421.30
  4. Step 4: Simplify right side
    153,565.40x = 23,131,855,654.53
  5. Step 5: Solve for x
    x = 23,131,855,654.53/153,565.40
  6. Step 6: Final answer
    x = 150,631.95

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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.