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Finding the Fourth Proportional to 132,763.88, 199,145.84 and 77,321

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Solution

The fourth proportional to 132,763.88, 199,145.84 and 77,321 is: 115,981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,763.88 : 199,145.84 = 77,321 : x
  2. Step 2: Convert to fraction form
    132,763.88/199,145.84 = 77,321/x
  3. Step 3: Cross multiply
    132,763.88x = 199,145.84 × 77,321
  4. Step 4: Simplify right side
    132,763.88x = 15,398,155,494.64
  5. Step 5: Solve for x
    x = 15,398,155,494.64/132,763.88
  6. Step 6: Final answer
    x = 115,981.51

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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.