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Finding the Fourth Proportional to 128,765.64, 177,684.66 and 72,165

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Solution

The fourth proportional to 128,765.64, 177,684.66 and 72,165 is: 99,581.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,765.64 : 177,684.66 = 72,165 : x
  2. Step 2: Convert to fraction form
    128,765.64/177,684.66 = 72,165/x
  3. Step 3: Cross multiply
    128,765.64x = 177,684.66 × 72,165
  4. Step 4: Simplify right side
    128,765.64x = 12,822,613,488.90
  5. Step 5: Solve for x
    x = 12,822,613,488.90/128,765.64
  6. Step 6: Final answer
    x = 99,581.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.