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Finding the Fourth Proportional to 78,765.76, 118,046.58 and 31,993.12

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Solution

The fourth proportional to 78,765.76, 118,046.58 and 31,993.12 is: 47,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,765.76 : 118,046.58 = 31,993.12 : x
  2. Step 2: Convert to fraction form
    78,765.76/118,046.58 = 31,993.12/x
  3. Step 3: Cross multiply
    78,765.76x = 118,046.58 × 31,993.12
  4. Step 4: Simplify right side
    78,765.76x = 3,776,678,399.53
  5. Step 5: Solve for x
    x = 3,776,678,399.53/78,765.76
  6. Step 6: Final answer
    x = 47,948.23

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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.