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Finding the Fourth Proportional to 78,073.64, 117,086.25 and 28,147.28

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Solution

The fourth proportional to 78,073.64, 117,086.25 and 28,147.28 is: 42,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,073.64 : 117,086.25 = 28,147.28 : x
  2. Step 2: Convert to fraction form
    78,073.64/117,086.25 = 28,147.28/x
  3. Step 3: Cross multiply
    78,073.64x = 117,086.25 × 28,147.28
  4. Step 4: Simplify right side
    78,073.64x = 3,295,658,877.47
  5. Step 5: Solve for x
    x = 3,295,658,877.47/78,073.64
  6. Step 6: Final answer
    x = 42,212.19

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1.5x scale

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.