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Finding the Fourth Proportional to 153,239.98, 230,073.22 and 78,411.78

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Solution

The fourth proportional to 153,239.98, 230,073.22 and 78,411.78 is: 117,726.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,239.98 : 230,073.22 = 78,411.78 : x
  2. Step 2: Convert to fraction form
    153,239.98/230,073.22 = 78,411.78/x
  3. Step 3: Cross multiply
    153,239.98x = 230,073.22 × 78,411.78
  4. Step 4: Simplify right side
    153,239.98x = 18,040,450,710.53
  5. Step 5: Solve for x
    x = 18,040,450,710.53/153,239.98
  6. Step 6: Final answer
    x = 117,726.79

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1.5x scale

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.