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Finding the Fourth Proportional to 78,012.80, 116,884.80 and 36,374.40

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Solution

The fourth proportional to 78,012.80, 116,884.80 and 36,374.40 is: 54,498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,012.80 : 116,884.80 = 36,374.40 : x
  2. Step 2: Convert to fraction form
    78,012.80/116,884.80 = 36,374.40/x
  3. Step 3: Cross multiply
    78,012.80x = 116,884.80 × 36,374.40
  4. Step 4: Simplify right side
    78,012.80x = 4,251,614,469.12
  5. Step 5: Solve for x
    x = 4,251,614,469.12/78,012.80
  6. Step 6: Final answer
    x = 54,498.93

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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.