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Finding the Fourth Proportional to 49,317.66, 67,978.39 and 38,543.50

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Solution

The fourth proportional to 49,317.66, 67,978.39 and 38,543.50 is: 53,127.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,317.66 : 67,978.39 = 38,543.50 : x
  2. Step 2: Convert to fraction form
    49,317.66/67,978.39 = 38,543.50/x
  3. Step 3: Cross multiply
    49,317.66x = 67,978.39 × 38,543.50
  4. Step 4: Simplify right side
    49,317.66x = 2,620,125,074.97
  5. Step 5: Solve for x
    x = 2,620,125,074.97/49,317.66
  6. Step 6: Final answer
    x = 53,127.52

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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.