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Finding the Fourth Proportional to 78,509.57, 117,746.66 and 22,348.43

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Solution

The fourth proportional to 78,509.57, 117,746.66 and 22,348.43 is: 33,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509.57 : 117,746.66 = 22,348.43 : x
  2. Step 2: Convert to fraction form
    78,509.57/117,746.66 = 22,348.43/x
  3. Step 3: Cross multiply
    78,509.57x = 117,746.66 × 22,348.43
  4. Step 4: Simplify right side
    78,509.57x = 2,631,452,988.74
  5. Step 5: Solve for x
    x = 2,631,452,988.74/78,509.57
  6. Step 6: Final answer
    x = 33,517.61

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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.