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Finding the Fourth Proportional to 177,117.78, 265,680.32 and 71,864.76

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Solution

The fourth proportional to 177,117.78, 265,680.32 and 71,864.76 is: 107,798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,117.78 : 265,680.32 = 71,864.76 : x
  2. Step 2: Convert to fraction form
    177,117.78/265,680.32 = 71,864.76/x
  3. Step 3: Cross multiply
    177,117.78x = 265,680.32 × 71,864.76
  4. Step 4: Simplify right side
    177,117.78x = 19,093,052,074.20
  5. Step 5: Solve for x
    x = 19,093,052,074.20/177,117.78
  6. Step 6: Final answer
    x = 107,798.62

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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.