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Finding the Fourth Proportional to 169,454.40, 253,780.80 and 147,146.52

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Solution

The fourth proportional to 169,454.40, 253,780.80 and 147,146.52 is: 220,371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,454.40 : 253,780.80 = 147,146.52 : x
  2. Step 2: Convert to fraction form
    169,454.40/253,780.80 = 147,146.52/x
  3. Step 3: Cross multiply
    169,454.40x = 253,780.80 × 147,146.52
  4. Step 4: Simplify right side
    169,454.40x = 37,342,961,562.82
  5. Step 5: Solve for x
    x = 37,342,961,562.82/169,454.40
  6. Step 6: Final answer
    x = 220,371.74

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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.