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Finding the Fourth Proportional to 148,735.68, 205,254.11 and 80,751.32

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Solution

The fourth proportional to 148,735.68, 205,254.11 and 80,751.32 is: 111,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,735.68 : 205,254.11 = 80,751.32 : x
  2. Step 2: Convert to fraction form
    148,735.68/205,254.11 = 80,751.32/x
  3. Step 3: Cross multiply
    148,735.68x = 205,254.11 × 80,751.32
  4. Step 4: Simplify right side
    148,735.68x = 16,574,538,887.90
  5. Step 5: Solve for x
    x = 16,574,538,887.90/148,735.68
  6. Step 6: Final answer
    x = 111,436.20

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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.