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Finding the Fourth Proportional to 77,116.76, 115,675.10 and 21,712.76

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Solution

The fourth proportional to 77,116.76, 115,675.10 and 21,712.76 is: 32,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,116.76 : 115,675.10 = 21,712.76 : x
  2. Step 2: Convert to fraction form
    77,116.76/115,675.10 = 21,712.76/x
  3. Step 3: Cross multiply
    77,116.76x = 115,675.10 × 21,712.76
  4. Step 4: Simplify right side
    77,116.76x = 2,511,625,684.28
  5. Step 5: Solve for x
    x = 2,511,625,684.28/77,116.76
  6. Step 6: Final answer
    x = 32,569.13

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1.5x scale

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.