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Finding the Fourth Proportional to 173,817.80, 260,726.70 and 138,825.80

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Solution

The fourth proportional to 173,817.80, 260,726.70 and 138,825.80 is: 208,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,817.80 : 260,726.70 = 138,825.80 : x
  2. Step 2: Convert to fraction form
    173,817.80/260,726.70 = 138,825.80/x
  3. Step 3: Cross multiply
    173,817.80x = 260,726.70 × 138,825.80
  4. Step 4: Simplify right side
    173,817.80x = 36,195,592,708.86
  5. Step 5: Solve for x
    x = 36,195,592,708.86/173,817.80
  6. Step 6: Final answer
    x = 208,238.70

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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.