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Finding the Fourth Proportional to 148,707.84, 205,212.24 and 80,721.60

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Solution

The fourth proportional to 148,707.84, 205,212.24 and 80,721.60 is: 111,393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,707.84 : 205,212.24 = 80,721.60 : x
  2. Step 2: Convert to fraction form
    148,707.84/205,212.24 = 80,721.60/x
  3. Step 3: Cross multiply
    148,707.84x = 205,212.24 × 80,721.60
  4. Step 4: Simplify right side
    148,707.84x = 16,565,060,352.38
  5. Step 5: Solve for x
    x = 16,565,060,352.38/148,707.84
  6. Step 6: Final answer
    x = 111,393.32

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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.