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Finding the Fourth Proportional to 68,854.74, 95,023.17 and 38,638.50

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Solution

The fourth proportional to 68,854.74, 95,023.17 and 38,638.50 is: 53,323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,854.74 : 95,023.17 = 38,638.50 : x
  2. Step 2: Convert to fraction form
    68,854.74/95,023.17 = 38,638.50/x
  3. Step 3: Cross multiply
    68,854.74x = 95,023.17 × 38,638.50
  4. Step 4: Simplify right side
    68,854.74x = 3,671,552,754.05
  5. Step 5: Solve for x
    x = 3,671,552,754.05/68,854.74
  6. Step 6: Final answer
    x = 53,323.17

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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.