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Finding the Fourth Proportional to 78,387.40, 117,581.10 and 73,138.60

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Solution

The fourth proportional to 78,387.40, 117,581.10 and 73,138.60 is: 109,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,387.40 : 117,581.10 = 73,138.60 : x
  2. Step 2: Convert to fraction form
    78,387.40/117,581.10 = 73,138.60/x
  3. Step 3: Cross multiply
    78,387.40x = 117,581.10 × 73,138.60
  4. Step 4: Simplify right side
    78,387.40x = 8,599,717,040.46
  5. Step 5: Solve for x
    x = 8,599,717,040.46/78,387.40
  6. Step 6: Final answer
    x = 109,707.90

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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.