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Finding the Fourth Proportional to 82,407.92, 123,484.66 and 55,649.05

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Solution

The fourth proportional to 82,407.92, 123,484.66 and 55,649.05 is: 83,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,407.92 : 123,484.66 = 55,649.05 : x
  2. Step 2: Convert to fraction form
    82,407.92/123,484.66 = 55,649.05/x
  3. Step 3: Cross multiply
    82,407.92x = 123,484.66 × 55,649.05
  4. Step 4: Simplify right side
    82,407.92x = 6,871,804,018.57
  5. Step 5: Solve for x
    x = 6,871,804,018.57/82,407.92
  6. Step 6: Final answer
    x = 83,387.66

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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.