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Finding the Fourth Proportional to 71,411.49, 107,117.61 and 21,491.24

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Solution

The fourth proportional to 71,411.49, 107,117.61 and 21,491.24 is: 32,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,411.49 : 107,117.61 = 21,491.24 : x
  2. Step 2: Convert to fraction form
    71,411.49/107,117.61 = 21,491.24/x
  3. Step 3: Cross multiply
    71,411.49x = 107,117.61 × 21,491.24
  4. Step 4: Simplify right side
    71,411.49x = 2,302,090,264.74
  5. Step 5: Solve for x
    x = 2,302,090,264.74/71,411.49
  6. Step 6: Final answer
    x = 32,236.97

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1.5x scale

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.