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Finding the Fourth Proportional to 76,765.93, 115,148.90 and 29,986

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Solution

The fourth proportional to 76,765.93, 115,148.90 and 29,986 is: 44,979.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,765.93 : 115,148.90 = 29,986 : x
  2. Step 2: Convert to fraction form
    76,765.93/115,148.90 = 29,986/x
  3. Step 3: Cross multiply
    76,765.93x = 115,148.90 × 29,986
  4. Step 4: Simplify right side
    76,765.93x = 3,452,854,765.47
  5. Step 5: Solve for x
    x = 3,452,854,765.47/76,765.93
  6. Step 6: Final answer
    x = 44,979.00

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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.