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Finding the Fourth Proportional to 138,554.59, 207,830.63 and 43,784.79

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Solution

The fourth proportional to 138,554.59, 207,830.63 and 43,784.79 is: 65,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,554.59 : 207,830.63 = 43,784.79 : x
  2. Step 2: Convert to fraction form
    138,554.59/207,830.63 = 43,784.79/x
  3. Step 3: Cross multiply
    138,554.59x = 207,830.63 × 43,784.79
  4. Step 4: Simplify right side
    138,554.59x = 9,099,819,232.04
  5. Step 5: Solve for x
    x = 9,099,819,232.04/138,554.59
  6. Step 6: Final answer
    x = 65,676.78

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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.