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Finding the Fourth Proportional to 71,920.77, 107,917.61 and 48,498

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Solution

The fourth proportional to 71,920.77, 107,917.61 and 48,498 is: 72,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,920.77 : 107,917.61 = 48,498 : x
  2. Step 2: Convert to fraction form
    71,920.77/107,917.61 = 48,498/x
  3. Step 3: Cross multiply
    71,920.77x = 107,917.61 × 48,498
  4. Step 4: Simplify right side
    71,920.77x = 5,233,788,007.29
  5. Step 5: Solve for x
    x = 5,233,788,007.29/71,920.77
  6. Step 6: Final answer
    x = 72,771.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.