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Finding the Fourth Proportional to 78,775.95, 108,721.26 and 50,098.32

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Solution

The fourth proportional to 78,775.95, 108,721.26 and 50,098.32 is: 69,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,775.95 : 108,721.26 = 50,098.32 : x
  2. Step 2: Convert to fraction form
    78,775.95/108,721.26 = 50,098.32/x
  3. Step 3: Cross multiply
    78,775.95x = 108,721.26 × 50,098.32
  4. Step 4: Simplify right side
    78,775.95x = 5,446,752,474.28
  5. Step 5: Solve for x
    x = 5,446,752,474.28/78,775.95
  6. Step 6: Final answer
    x = 69,142.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.