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Finding the Fourth Proportional to 153,159.29, 211,328.80 and 89,484.78

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Solution

The fourth proportional to 153,159.29, 211,328.80 and 89,484.78 is: 123,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,159.29 : 211,328.80 = 89,484.78 : x
  2. Step 2: Convert to fraction form
    153,159.29/211,328.80 = 89,484.78/x
  3. Step 3: Cross multiply
    153,159.29x = 211,328.80 × 89,484.78
  4. Step 4: Simplify right side
    153,159.29x = 18,910,711,744.44
  5. Step 5: Solve for x
    x = 18,910,711,744.44/153,159.29
  6. Step 6: Final answer
    x = 123,470.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.