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Finding the Fourth Proportional to 78,218.60, 117,327.90 and 25,615.40

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Solution

The fourth proportional to 78,218.60, 117,327.90 and 25,615.40 is: 38,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,218.60 : 117,327.90 = 25,615.40 : x
  2. Step 2: Convert to fraction form
    78,218.60/117,327.90 = 25,615.40/x
  3. Step 3: Cross multiply
    78,218.60x = 117,327.90 × 25,615.40
  4. Step 4: Simplify right side
    78,218.60x = 3,005,401,089.66
  5. Step 5: Solve for x
    x = 3,005,401,089.66/78,218.60
  6. Step 6: Final answer
    x = 38,423.10

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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.