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Finding the Fourth Proportional to 73,982, 102,095.16 and 40,448

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Solution

The fourth proportional to 73,982, 102,095.16 and 40,448 is: 55,818.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,982 : 102,095.16 = 40,448 : x
  2. Step 2: Convert to fraction form
    73,982/102,095.16 = 40,448/x
  3. Step 3: Cross multiply
    73,982x = 102,095.16 × 40,448
  4. Step 4: Simplify right side
    73,982x = 4,129,545,031.68
  5. Step 5: Solve for x
    x = 4,129,545,031.68/73,982
  6. Step 6: Final answer
    x = 55,818.24

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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.