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Finding the Fourth Proportional to 136,876.89, 205,315.34 and 51,503.80

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Solution

The fourth proportional to 136,876.89, 205,315.34 and 51,503.80 is: 77,255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,876.89 : 205,315.34 = 51,503.80 : x
  2. Step 2: Convert to fraction form
    136,876.89/205,315.34 = 51,503.80/x
  3. Step 3: Cross multiply
    136,876.89x = 205,315.34 × 51,503.80
  4. Step 4: Simplify right side
    136,876.89x = 10,574,520,208.29
  5. Step 5: Solve for x
    x = 10,574,520,208.29/136,876.89
  6. Step 6: Final answer
    x = 77,255.70

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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.