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Finding the Fourth Proportional to 92,031.40, 138,047.10 and 82,991.80

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Solution

The fourth proportional to 92,031.40, 138,047.10 and 82,991.80 is: 124,487.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,031.40 : 138,047.10 = 82,991.80 : x
  2. Step 2: Convert to fraction form
    92,031.40/138,047.10 = 82,991.80/x
  3. Step 3: Cross multiply
    92,031.40x = 138,047.10 × 82,991.80
  4. Step 4: Simplify right side
    92,031.40x = 11,456,777,313.78
  5. Step 5: Solve for x
    x = 11,456,777,313.78/92,031.40
  6. Step 6: Final answer
    x = 124,487.70

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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.