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Finding the Fourth Proportional to 153,990, 231,077.16 and 66,438

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Solution

The fourth proportional to 153,990, 231,077.16 and 66,438 is: 99,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,990 : 231,077.16 = 66,438 : x
  2. Step 2: Convert to fraction form
    153,990/231,077.16 = 66,438/x
  3. Step 3: Cross multiply
    153,990x = 231,077.16 × 66,438
  4. Step 4: Simplify right side
    153,990x = 15,352,304,356.08
  5. Step 5: Solve for x
    x = 15,352,304,356.08/153,990
  6. Step 6: Final answer
    x = 99,696.76

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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.