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Finding the Fourth Proportional to 257,883.96, 386,644.50 and 99,979.32

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Solution

The fourth proportional to 257,883.96, 386,644.50 and 99,979.32 is: 149,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,883.96 : 386,644.50 = 99,979.32 : x
  2. Step 2: Convert to fraction form
    257,883.96/386,644.50 = 99,979.32/x
  3. Step 3: Cross multiply
    257,883.96x = 386,644.50 × 99,979.32
  4. Step 4: Simplify right side
    257,883.96x = 38,656,454,191.74
  5. Step 5: Solve for x
    x = 38,656,454,191.74/257,883.96
  6. Step 6: Final answer
    x = 149,898.64

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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.