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Finding the Fourth Proportional to 71,098.30, 106,649.25 and 18,510.22

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Solution

The fourth proportional to 71,098.30, 106,649.25 and 18,510.22 is: 27,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,098.30 : 106,649.25 = 18,510.22 : x
  2. Step 2: Convert to fraction form
    71,098.30/106,649.25 = 18,510.22/x
  3. Step 3: Cross multiply
    71,098.30x = 106,649.25 × 18,510.22
  4. Step 4: Simplify right side
    71,098.30x = 1,974,101,080.34
  5. Step 5: Solve for x
    x = 1,974,101,080.34/71,098.30
  6. Step 6: Final answer
    x = 27,765.80

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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.