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Finding the Fourth Proportional to 71,106.17, 106,659.18 and 18,514.22

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Solution

The fourth proportional to 71,106.17, 106,659.18 and 18,514.22 is: 27,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,106.17 : 106,659.18 = 18,514.22 : x
  2. Step 2: Convert to fraction form
    71,106.17/106,659.18 = 18,514.22/x
  3. Step 3: Cross multiply
    71,106.17x = 106,659.18 × 18,514.22
  4. Step 4: Simplify right side
    71,106.17x = 1,974,710,990.24
  5. Step 5: Solve for x
    x = 1,974,710,990.24/71,106.17
  6. Step 6: Final answer
    x = 27,771.30

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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.