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Finding the Fourth Proportional to 78,405.80, 117,320.70 and 57,669.80

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Solution

The fourth proportional to 78,405.80, 117,320.70 and 57,669.80 is: 86,292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,405.80 : 117,320.70 = 57,669.80 : x
  2. Step 2: Convert to fraction form
    78,405.80/117,320.70 = 57,669.80/x
  3. Step 3: Cross multiply
    78,405.80x = 117,320.70 × 57,669.80
  4. Step 4: Simplify right side
    78,405.80x = 6,765,861,304.86
  5. Step 5: Solve for x
    x = 6,765,861,304.86/78,405.80
  6. Step 6: Final answer
    x = 86,292.87

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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.