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Finding the Fourth Proportional to 108,139.86, 161,983.74 and 86,965.65

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Solution

The fourth proportional to 108,139.86, 161,983.74 and 86,965.65 is: 130,266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,139.86 : 161,983.74 = 86,965.65 : x
  2. Step 2: Convert to fraction form
    108,139.86/161,983.74 = 86,965.65/x
  3. Step 3: Cross multiply
    108,139.86x = 161,983.74 × 86,965.65
  4. Step 4: Simplify right side
    108,139.86x = 14,087,021,238.53
  5. Step 5: Solve for x
    x = 14,087,021,238.53/108,139.86
  6. Step 6: Final answer
    x = 130,266.69

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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.