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Finding the Fourth Proportional to 177,459, 266,057.28 and 107,322.72

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Solution

The fourth proportional to 177,459, 266,057.28 and 107,322.72 is: 160,904.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,459 : 266,057.28 = 107,322.72 : x
  2. Step 2: Convert to fraction form
    177,459/266,057.28 = 107,322.72/x
  3. Step 3: Cross multiply
    177,459x = 266,057.28 × 107,322.72
  4. Step 4: Simplify right side
    177,459x = 28,553,990,965.40
  5. Step 5: Solve for x
    x = 28,553,990,965.40/177,459
  6. Step 6: Final answer
    x = 160,904.72

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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.