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Finding the Fourth Proportional to 144,734.40, 217,101.60 and 137,131.20

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Solution

The fourth proportional to 144,734.40, 217,101.60 and 137,131.20 is: 205,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,734.40 : 217,101.60 = 137,131.20 : x
  2. Step 2: Convert to fraction form
    144,734.40/217,101.60 = 137,131.20/x
  3. Step 3: Cross multiply
    144,734.40x = 217,101.60 × 137,131.20
  4. Step 4: Simplify right side
    144,734.40x = 29,771,402,929.92
  5. Step 5: Solve for x
    x = 29,771,402,929.92/144,734.40
  6. Step 6: Final answer
    x = 205,696.80

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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.