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Finding the Fourth Proportional to 71,371.84, 98,491.76 and 39,541

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Solution

The fourth proportional to 71,371.84, 98,491.76 and 39,541 is: 54,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,371.84 : 98,491.76 = 39,541 : x
  2. Step 2: Convert to fraction form
    71,371.84/98,491.76 = 39,541/x
  3. Step 3: Cross multiply
    71,371.84x = 98,491.76 × 39,541
  4. Step 4: Simplify right side
    71,371.84x = 3,894,462,682.16
  5. Step 5: Solve for x
    x = 3,894,462,682.16/71,371.84
  6. Step 6: Final answer
    x = 54,565.82

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1.5x scale

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.