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Finding the Fourth Proportional to 138,106.67, 207,159.17 and 35,523.84

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Solution

The fourth proportional to 138,106.67, 207,159.17 and 35,523.84 is: 53,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,106.67 : 207,159.17 = 35,523.84 : x
  2. Step 2: Convert to fraction form
    138,106.67/207,159.17 = 35,523.84/x
  3. Step 3: Cross multiply
    138,106.67x = 207,159.17 × 35,523.84
  4. Step 4: Simplify right side
    138,106.67x = 7,359,089,426.03
  5. Step 5: Solve for x
    x = 7,359,089,426.03/138,106.67
  6. Step 6: Final answer
    x = 53,285.55

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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.