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Finding the Fourth Proportional to 153,770.76, 230,578.38 and 78,874.92

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Solution

The fourth proportional to 153,770.76, 230,578.38 and 78,874.92 is: 118,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,770.76 : 230,578.38 = 78,874.92 : x
  2. Step 2: Convert to fraction form
    153,770.76/230,578.38 = 78,874.92/x
  3. Step 3: Cross multiply
    153,770.76x = 230,578.38 × 78,874.92
  4. Step 4: Simplify right side
    153,770.76x = 18,186,851,276.23
  5. Step 5: Solve for x
    x = 18,186,851,276.23/153,770.76
  6. Step 6: Final answer
    x = 118,272.49

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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.