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Finding the Fourth Proportional to 100,983.17, 139,350.43 and 55,658.66

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Solution

The fourth proportional to 100,983.17, 139,350.43 and 55,658.66 is: 76,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,983.17 : 139,350.43 = 55,658.66 : x
  2. Step 2: Convert to fraction form
    100,983.17/139,350.43 = 55,658.66/x
  3. Step 3: Cross multiply
    100,983.17x = 139,350.43 × 55,658.66
  4. Step 4: Simplify right side
    100,983.17x = 7,756,057,577.04
  5. Step 5: Solve for x
    x = 7,756,057,577.04/100,983.17
  6. Step 6: Final answer
    x = 76,805.45

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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.