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Finding the Fourth Proportional to 148,709.91, 205,223.40 and 80,726.91

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Solution

The fourth proportional to 148,709.91, 205,223.40 and 80,726.91 is: 111,405.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,709.91 : 205,223.40 = 80,726.91 : x
  2. Step 2: Convert to fraction form
    148,709.91/205,223.40 = 80,726.91/x
  3. Step 3: Cross multiply
    148,709.91x = 205,223.40 × 80,726.91
  4. Step 4: Simplify right side
    148,709.91x = 16,567,050,941.69
  5. Step 5: Solve for x
    x = 16,567,050,941.69/148,709.91
  6. Step 6: Final answer
    x = 111,405.16

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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.