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Finding the Fourth Proportional to 78,419.59, 108,217.47 and 42,609.86

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Solution

The fourth proportional to 78,419.59, 108,217.47 and 42,609.86 is: 58,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,419.59 : 108,217.47 = 42,609.86 : x
  2. Step 2: Convert to fraction form
    78,419.59/108,217.47 = 42,609.86/x
  3. Step 3: Cross multiply
    78,419.59x = 108,217.47 × 42,609.86
  4. Step 4: Simplify right side
    78,419.59x = 4,611,130,705.17
  5. Step 5: Solve for x
    x = 4,611,130,705.17/78,419.59
  6. Step 6: Final answer
    x = 58,800.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.