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Finding the Fourth Proportional to 257,113.08, 385,815.42 and 138,781.80

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Solution

The fourth proportional to 257,113.08, 385,815.42 and 138,781.80 is: 208,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,113.08 : 385,815.42 = 138,781.80 : x
  2. Step 2: Convert to fraction form
    257,113.08/385,815.42 = 138,781.80/x
  3. Step 3: Cross multiply
    257,113.08x = 385,815.42 × 138,781.80
  4. Step 4: Simplify right side
    257,113.08x = 53,544,158,455.36
  5. Step 5: Solve for x
    x = 53,544,158,455.36/257,113.08
  6. Step 6: Final answer
    x = 208,251.40

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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.