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Finding the Fourth Proportional to 153,630, 230,445.14 and 42,822

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Solution

The fourth proportional to 153,630, 230,445.14 and 42,822 is: 64,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,630 : 230,445.14 = 42,822 : x
  2. Step 2: Convert to fraction form
    153,630/230,445.14 = 42,822/x
  3. Step 3: Cross multiply
    153,630x = 230,445.14 × 42,822
  4. Step 4: Simplify right side
    153,630x = 9,868,121,570.97
  5. Step 5: Solve for x
    x = 9,868,121,570.97/153,630
  6. Step 6: Final answer
    x = 64,233.04

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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.