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Finding the Fourth Proportional to 71,741, 99,002.11 and 39,477.58

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Solution

The fourth proportional to 71,741, 99,002.11 and 39,477.58 is: 54,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,741 : 99,002.11 = 39,477.58 : x
  2. Step 2: Convert to fraction form
    71,741/99,002.11 = 39,477.58/x
  3. Step 3: Cross multiply
    71,741x = 99,002.11 × 39,477.58
  4. Step 4: Simplify right side
    71,741x = 3,908,363,717.69
  5. Step 5: Solve for x
    x = 3,908,363,717.69/71,741
  6. Step 6: Final answer
    x = 54,478.80

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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.