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Finding the Fourth Proportional to 77,079.84, 115,549.65 and 29,664.69

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Solution

The fourth proportional to 77,079.84, 115,549.65 and 29,664.69 is: 44,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,079.84 : 115,549.65 = 29,664.69 : x
  2. Step 2: Convert to fraction form
    77,079.84/115,549.65 = 29,664.69/x
  3. Step 3: Cross multiply
    77,079.84x = 115,549.65 × 29,664.69
  4. Step 4: Simplify right side
    77,079.84x = 3,427,744,546.86
  5. Step 5: Solve for x
    x = 3,427,744,546.86/77,079.84
  6. Step 6: Final answer
    x = 44,470.05

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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.