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Finding the Fourth Proportional to 153,344.80, 230,064.10 and 78,517.87

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Solution

The fourth proportional to 153,344.80, 230,064.10 and 78,517.87 is: 117,800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,344.80 : 230,064.10 = 78,517.87 : x
  2. Step 2: Convert to fraction form
    153,344.80/230,064.10 = 78,517.87/x
  3. Step 3: Cross multiply
    153,344.80x = 230,064.10 × 78,517.87
  4. Step 4: Simplify right side
    153,344.80x = 18,064,143,618.12
  5. Step 5: Solve for x
    x = 18,064,143,618.12/153,344.80
  6. Step 6: Final answer
    x = 117,800.82

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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.