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Finding the Fourth Proportional to 252,137.16, 378,197.46 and 102,373.74

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Solution

The fourth proportional to 252,137.16, 378,197.46 and 102,373.74 is: 153,557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,137.16 : 378,197.46 = 102,373.74 : x
  2. Step 2: Convert to fraction form
    252,137.16/378,197.46 = 102,373.74/x
  3. Step 3: Cross multiply
    252,137.16x = 378,197.46 × 102,373.74
  4. Step 4: Simplify right side
    252,137.16x = 38,717,488,438.70
  5. Step 5: Solve for x
    x = 38,717,488,438.70/252,137.16
  6. Step 6: Final answer
    x = 153,557.25

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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.