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Finding the Fourth Proportional to 78,112.50, 117,188.73 and 22,708.50

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Solution

The fourth proportional to 78,112.50, 117,188.73 and 22,708.50 is: 34,068.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,112.50 : 117,188.73 = 22,708.50 : x
  2. Step 2: Convert to fraction form
    78,112.50/117,188.73 = 22,708.50/x
  3. Step 3: Cross multiply
    78,112.50x = 117,188.73 × 22,708.50
  4. Step 4: Simplify right side
    78,112.50x = 2,661,180,275.21
  5. Step 5: Solve for x
    x = 2,661,180,275.21/78,112.50
  6. Step 6: Final answer
    x = 34,068.56

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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.