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Finding the Fourth Proportional to 78,215.60, 117,323.40 and 25,612.40

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Solution

The fourth proportional to 78,215.60, 117,323.40 and 25,612.40 is: 38,418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,215.60 : 117,323.40 = 25,612.40 : x
  2. Step 2: Convert to fraction form
    78,215.60/117,323.40 = 25,612.40/x
  3. Step 3: Cross multiply
    78,215.60x = 117,323.40 × 25,612.40
  4. Step 4: Simplify right side
    78,215.60x = 3,004,933,850.16
  5. Step 5: Solve for x
    x = 3,004,933,850.16/78,215.60
  6. Step 6: Final answer
    x = 38,418.60

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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.