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Finding the Fourth Proportional to 137,781.16, 206,717.76 and 53,544.08

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Solution

The fourth proportional to 137,781.16, 206,717.76 and 53,544.08 is: 80,334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,781.16 : 206,717.76 = 53,544.08 : x
  2. Step 2: Convert to fraction form
    137,781.16/206,717.76 = 53,544.08/x
  3. Step 3: Cross multiply
    137,781.16x = 206,717.76 × 53,544.08
  4. Step 4: Simplify right side
    137,781.16x = 11,068,512,795.66
  5. Step 5: Solve for x
    x = 11,068,512,795.66/137,781.16
  6. Step 6: Final answer
    x = 80,334.01

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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.