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Finding the Fourth Proportional to 78,480.30, 117,720.45 and 54,860.70

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Solution

The fourth proportional to 78,480.30, 117,720.45 and 54,860.70 is: 82,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,480.30 : 117,720.45 = 54,860.70 : x
  2. Step 2: Convert to fraction form
    78,480.30/117,720.45 = 54,860.70/x
  3. Step 3: Cross multiply
    78,480.30x = 117,720.45 × 54,860.70
  4. Step 4: Simplify right side
    78,480.30x = 6,458,226,291.32
  5. Step 5: Solve for x
    x = 6,458,226,291.32/78,480.30
  6. Step 6: Final answer
    x = 82,291.05

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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.