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Finding the Fourth Proportional to 257,870.83, 386,956.85 and 108,099.61

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Solution

The fourth proportional to 257,870.83, 386,956.85 and 108,099.61 is: 162,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,870.83 : 386,956.85 = 108,099.61 : x
  2. Step 2: Convert to fraction form
    257,870.83/386,956.85 = 108,099.61/x
  3. Step 3: Cross multiply
    257,870.83x = 386,956.85 × 108,099.61
  4. Step 4: Simplify right side
    257,870.83x = 41,829,884,031.33
  5. Step 5: Solve for x
    x = 41,829,884,031.33/257,870.83
  6. Step 6: Final answer
    x = 162,212.55

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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.