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Finding the Fourth Proportional to 73,959.48, 102,064.10 and 39,967.85

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Solution

The fourth proportional to 73,959.48, 102,064.10 and 39,967.85 is: 55,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,959.48 : 102,064.10 = 39,967.85 : x
  2. Step 2: Convert to fraction form
    73,959.48/102,064.10 = 39,967.85/x
  3. Step 3: Cross multiply
    73,959.48x = 102,064.10 × 39,967.85
  4. Step 4: Simplify right side
    73,959.48x = 4,079,282,694.51
  5. Step 5: Solve for x
    x = 4,079,282,694.51/73,959.48
  6. Step 6: Final answer
    x = 55,155.64

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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.