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Finding the Fourth Proportional to 76,776.48, 115,165.44 and 75,143.52

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Solution

The fourth proportional to 76,776.48, 115,165.44 and 75,143.52 is: 112,715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,776.48 : 115,165.44 = 75,143.52 : x
  2. Step 2: Convert to fraction form
    76,776.48/115,165.44 = 75,143.52/x
  3. Step 3: Cross multiply
    76,776.48x = 115,165.44 × 75,143.52
  4. Step 4: Simplify right side
    76,776.48x = 8,653,936,543.95
  5. Step 5: Solve for x
    x = 8,653,936,543.95/76,776.48
  6. Step 6: Final answer
    x = 112,715.98

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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.