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Finding the Fourth Proportional to 229,057.38, 316,088.51 and 127,081.76

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Solution

The fourth proportional to 229,057.38, 316,088.51 and 127,081.76 is: 175,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,057.38 : 316,088.51 = 127,081.76 : x
  2. Step 2: Convert to fraction form
    229,057.38/316,088.51 = 127,081.76/x
  3. Step 3: Cross multiply
    229,057.38x = 316,088.51 × 127,081.76
  4. Step 4: Simplify right side
    229,057.38x = 40,169,082,903.84
  5. Step 5: Solve for x
    x = 40,169,082,903.84/229,057.38
  6. Step 6: Final answer
    x = 175,366.90

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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.