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Finding the Fourth Proportional to 76,079.84, 114,043.04 and 31,731.12

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Solution

The fourth proportional to 76,079.84, 114,043.04 and 31,731.12 is: 47,564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,079.84 : 114,043.04 = 31,731.12 : x
  2. Step 2: Convert to fraction form
    76,079.84/114,043.04 = 31,731.12/x
  3. Step 3: Cross multiply
    76,079.84x = 114,043.04 × 31,731.12
  4. Step 4: Simplify right side
    76,079.84x = 3,618,713,387.40
  5. Step 5: Solve for x
    x = 3,618,713,387.40/76,079.84
  6. Step 6: Final answer
    x = 47,564.68

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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.