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Finding the Fourth Proportional to 76,891.97, 115,444.19 and 53,141

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Solution

The fourth proportional to 76,891.97, 115,444.19 and 53,141 is: 79,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,891.97 : 115,444.19 = 53,141 : x
  2. Step 2: Convert to fraction form
    76,891.97/115,444.19 = 53,141/x
  3. Step 3: Cross multiply
    76,891.97x = 115,444.19 × 53,141
  4. Step 4: Simplify right side
    76,891.97x = 6,134,819,700.79
  5. Step 5: Solve for x
    x = 6,134,819,700.79/76,891.97
  6. Step 6: Final answer
    x = 79,784.92

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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.