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Finding the Fourth Proportional to 76,960.95, 106,207.77 and 42,505.59

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Solution

The fourth proportional to 76,960.95, 106,207.77 and 42,505.59 is: 58,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,960.95 : 106,207.77 = 42,505.59 : x
  2. Step 2: Convert to fraction form
    76,960.95/106,207.77 = 42,505.59/x
  3. Step 3: Cross multiply
    76,960.95x = 106,207.77 × 42,505.59
  4. Step 4: Simplify right side
    76,960.95x = 4,514,423,926.43
  5. Step 5: Solve for x
    x = 4,514,423,926.43/76,960.95
  6. Step 6: Final answer
    x = 58,658.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.