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Finding the Fourth Proportional to 80,711.68, 121,067.52 and 25,312

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Solution

The fourth proportional to 80,711.68, 121,067.52 and 25,312 is: 37,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,711.68 : 121,067.52 = 25,312 : x
  2. Step 2: Convert to fraction form
    80,711.68/121,067.52 = 25,312/x
  3. Step 3: Cross multiply
    80,711.68x = 121,067.52 × 25,312
  4. Step 4: Simplify right side
    80,711.68x = 3,064,461,066.24
  5. Step 5: Solve for x
    x = 3,064,461,066.24/80,711.68
  6. Step 6: Final answer
    x = 37,968.00

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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.