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Finding the Fourth Proportional to 128,695.20, 192,952.80 and 76,077.60

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Solution

The fourth proportional to 128,695.20, 192,952.80 and 76,077.60 is: 114,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,695.20 : 192,952.80 = 76,077.60 : x
  2. Step 2: Convert to fraction form
    128,695.20/192,952.80 = 76,077.60/x
  3. Step 3: Cross multiply
    128,695.20x = 192,952.80 × 76,077.60
  4. Step 4: Simplify right side
    128,695.20x = 14,679,385,937.28
  5. Step 5: Solve for x
    x = 14,679,385,937.28/128,695.20
  6. Step 6: Final answer
    x = 114,063.20

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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.