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Finding the Fourth Proportional to 78,023.52, 117,045 and 25,418.88

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Solution

The fourth proportional to 78,023.52, 117,045 and 25,418.88 is: 38,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,023.52 : 117,045 = 25,418.88 : x
  2. Step 2: Convert to fraction form
    78,023.52/117,045 = 25,418.88/x
  3. Step 3: Cross multiply
    78,023.52x = 117,045 × 25,418.88
  4. Step 4: Simplify right side
    78,023.52x = 2,975,152,809.60
  5. Step 5: Solve for x
    x = 2,975,152,809.60/78,023.52
  6. Step 6: Final answer
    x = 38,131.49

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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.