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Finding the Fourth Proportional to 76,946.88, 115,426.80 and 21,542.88

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Solution

The fourth proportional to 76,946.88, 115,426.80 and 21,542.88 is: 32,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,946.88 : 115,426.80 = 21,542.88 : x
  2. Step 2: Convert to fraction form
    76,946.88/115,426.80 = 21,542.88/x
  3. Step 3: Cross multiply
    76,946.88x = 115,426.80 × 21,542.88
  4. Step 4: Simplify right side
    76,946.88x = 2,486,625,701.18
  5. Step 5: Solve for x
    x = 2,486,625,701.18/76,946.88
  6. Step 6: Final answer
    x = 32,316.13

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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.