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Finding the Fourth Proportional to 78,001.80, 117,002.70 and 25,416.60

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Solution

The fourth proportional to 78,001.80, 117,002.70 and 25,416.60 is: 38,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,001.80 : 117,002.70 = 25,416.60 : x
  2. Step 2: Convert to fraction form
    78,001.80/117,002.70 = 25,416.60/x
  3. Step 3: Cross multiply
    78,001.80x = 117,002.70 × 25,416.60
  4. Step 4: Simplify right side
    78,001.80x = 2,973,810,824.82
  5. Step 5: Solve for x
    x = 2,973,810,824.82/78,001.80
  6. Step 6: Final answer
    x = 38,124.90

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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.