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Finding the Fourth Proportional to 127,712.80, 191,569.20 and 75,181.60

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Solution

The fourth proportional to 127,712.80, 191,569.20 and 75,181.60 is: 112,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,712.80 : 191,569.20 = 75,181.60 : x
  2. Step 2: Convert to fraction form
    127,712.80/191,569.20 = 75,181.60/x
  3. Step 3: Cross multiply
    127,712.80x = 191,569.20 × 75,181.60
  4. Step 4: Simplify right side
    127,712.80x = 14,402,478,966.72
  5. Step 5: Solve for x
    x = 14,402,478,966.72/127,712.80
  6. Step 6: Final answer
    x = 112,772.40

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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.