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Finding the Fourth Proportional to 78,167.20, 117,250.80 and 28,271.20

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Solution

The fourth proportional to 78,167.20, 117,250.80 and 28,271.20 is: 42,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,167.20 : 117,250.80 = 28,271.20 : x
  2. Step 2: Convert to fraction form
    78,167.20/117,250.80 = 28,271.20/x
  3. Step 3: Cross multiply
    78,167.20x = 117,250.80 × 28,271.20
  4. Step 4: Simplify right side
    78,167.20x = 3,314,820,816.96
  5. Step 5: Solve for x
    x = 3,314,820,816.96/78,167.20
  6. Step 6: Final answer
    x = 42,406.80

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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.