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Finding the Fourth Proportional to 177,314.52, 265,971.14 and 72,108.76

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Solution

The fourth proportional to 177,314.52, 265,971.14 and 72,108.76 is: 108,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,314.52 : 265,971.14 = 72,108.76 : x
  2. Step 2: Convert to fraction form
    177,314.52/265,971.14 = 72,108.76/x
  3. Step 3: Cross multiply
    177,314.52x = 265,971.14 × 72,108.76
  4. Step 4: Simplify right side
    177,314.52x = 19,178,849,101.19
  5. Step 5: Solve for x
    x = 19,178,849,101.19/177,314.52
  6. Step 6: Final answer
    x = 108,162.88

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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.