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Finding the Fourth Proportional to 77,073.84, 115,540.65 and 29,658.69

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Solution

The fourth proportional to 77,073.84, 115,540.65 and 29,658.69 is: 44,461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,073.84 : 115,540.65 = 29,658.69 : x
  2. Step 2: Convert to fraction form
    77,073.84/115,540.65 = 29,658.69/x
  3. Step 3: Cross multiply
    77,073.84x = 115,540.65 × 29,658.69
  4. Step 4: Simplify right side
    77,073.84x = 3,426,784,320.75
  5. Step 5: Solve for x
    x = 3,426,784,320.75/77,073.84
  6. Step 6: Final answer
    x = 44,461.06

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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.