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Finding the Fourth Proportional to 69,531.78, 103,403.16 and 67,317.46

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Solution

The fourth proportional to 69,531.78, 103,403.16 and 67,317.46 is: 100,110.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,531.78 : 103,403.16 = 67,317.46 : x
  2. Step 2: Convert to fraction form
    69,531.78/103,403.16 = 67,317.46/x
  3. Step 3: Cross multiply
    69,531.78x = 103,403.16 × 67,317.46
  4. Step 4: Simplify right side
    69,531.78x = 6,960,838,087.17
  5. Step 5: Solve for x
    x = 6,960,838,087.17/69,531.78
  6. Step 6: Final answer
    x = 100,110.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.