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Finding the Fourth Proportional to 71,130.80, 106,701.42 and 21,206.90

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Solution

The fourth proportional to 71,130.80, 106,701.42 and 21,206.90 is: 31,811.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,130.80 : 106,701.42 = 21,206.90 : x
  2. Step 2: Convert to fraction form
    71,130.80/106,701.42 = 21,206.90/x
  3. Step 3: Cross multiply
    71,130.80x = 106,701.42 × 21,206.90
  4. Step 4: Simplify right side
    71,130.80x = 2,262,806,343.80
  5. Step 5: Solve for x
    x = 2,262,806,343.80/71,130.80
  6. Step 6: Final answer
    x = 31,811.91

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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.