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Finding the Fourth Proportional to 77,103.90, 115,655.85 and 39,611.70

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Solution

The fourth proportional to 77,103.90, 115,655.85 and 39,611.70 is: 59,417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,103.90 : 115,655.85 = 39,611.70 : x
  2. Step 2: Convert to fraction form
    77,103.90/115,655.85 = 39,611.70/x
  3. Step 3: Cross multiply
    77,103.90x = 115,655.85 × 39,611.70
  4. Step 4: Simplify right side
    77,103.90x = 4,581,324,833.45
  5. Step 5: Solve for x
    x = 4,581,324,833.45/77,103.90
  6. Step 6: Final answer
    x = 59,417.55

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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.