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Finding the Fourth Proportional to 100,461.68, 138,641.46 and 60,182

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Solution

The fourth proportional to 100,461.68, 138,641.46 and 60,182 is: 83,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,461.68 : 138,641.46 = 60,182 : x
  2. Step 2: Convert to fraction form
    100,461.68/138,641.46 = 60,182/x
  3. Step 3: Cross multiply
    100,461.68x = 138,641.46 × 60,182
  4. Step 4: Simplify right side
    100,461.68x = 8,343,720,345.72
  5. Step 5: Solve for x
    x = 8,343,720,345.72/100,461.68
  6. Step 6: Final answer
    x = 83,053.76

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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.