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Finding the Fourth Proportional to 75,318.83, 103,943.23 and 45,098.38

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Solution

The fourth proportional to 75,318.83, 103,943.23 and 45,098.38 is: 62,237.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,318.83 : 103,943.23 = 45,098.38 : x
  2. Step 2: Convert to fraction form
    75,318.83/103,943.23 = 45,098.38/x
  3. Step 3: Cross multiply
    75,318.83x = 103,943.23 × 45,098.38
  4. Step 4: Simplify right side
    75,318.83x = 4,687,671,166.04
  5. Step 5: Solve for x
    x = 4,687,671,166.04/75,318.83
  6. Step 6: Final answer
    x = 62,237.71

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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.