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Finding the Fourth Proportional to 100,309.34, 138,428.44 and 60,024.80

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Solution

The fourth proportional to 100,309.34, 138,428.44 and 60,024.80 is: 82,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,309.34 : 138,428.44 = 60,024.80 : x
  2. Step 2: Convert to fraction form
    100,309.34/138,428.44 = 60,024.80/x
  3. Step 3: Cross multiply
    100,309.34x = 138,428.44 × 60,024.80
  4. Step 4: Simplify right side
    100,309.34x = 8,309,139,180.30
  5. Step 5: Solve for x
    x = 8,309,139,180.30/100,309.34
  6. Step 6: Final answer
    x = 82,835.15

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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.