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Finding the Fourth Proportional to 185,659.92, 278,487.36 and 45,419.76

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Solution

The fourth proportional to 185,659.92, 278,487.36 and 45,419.76 is: 68,129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,659.92 : 278,487.36 = 45,419.76 : x
  2. Step 2: Convert to fraction form
    185,659.92/278,487.36 = 45,419.76/x
  3. Step 3: Cross multiply
    185,659.92x = 278,487.36 × 45,419.76
  4. Step 4: Simplify right side
    185,659.92x = 12,648,829,054.23
  5. Step 5: Solve for x
    x = 12,648,829,054.23/185,659.92
  6. Step 6: Final answer
    x = 68,129.02

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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.