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Finding the Fourth Proportional to 100,581.88, 138,827.94 and 58,165

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Solution

The fourth proportional to 100,581.88, 138,827.94 and 58,165 is: 80,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,581.88 : 138,827.94 = 58,165 : x
  2. Step 2: Convert to fraction form
    100,581.88/138,827.94 = 58,165/x
  3. Step 3: Cross multiply
    100,581.88x = 138,827.94 × 58,165
  4. Step 4: Simplify right side
    100,581.88x = 8,074,927,130.10
  5. Step 5: Solve for x
    x = 8,074,927,130.10/100,581.88
  6. Step 6: Final answer
    x = 80,282.13

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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.