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Finding the Fourth Proportional to 126,044, 189,096.72 and 38,492

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Solution

The fourth proportional to 126,044, 189,096.72 and 38,492 is: 57,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,044 : 189,096.72 = 38,492 : x
  2. Step 2: Convert to fraction form
    126,044/189,096.72 = 38,492/x
  3. Step 3: Cross multiply
    126,044x = 189,096.72 × 38,492
  4. Step 4: Simplify right side
    126,044x = 7,278,710,946.24
  5. Step 5: Solve for x
    x = 7,278,710,946.24/126,044
  6. Step 6: Final answer
    x = 57,747.38

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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.