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Finding the Fourth Proportional to 138,104.30, 207,265.80 and 53,904.80

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Solution

The fourth proportional to 138,104.30, 207,265.80 and 53,904.80 is: 80,899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,104.30 : 207,265.80 = 53,904.80 : x
  2. Step 2: Convert to fraction form
    138,104.30/207,265.80 = 53,904.80/x
  3. Step 3: Cross multiply
    138,104.30x = 207,265.80 × 53,904.80
  4. Step 4: Simplify right side
    138,104.30x = 11,172,621,495.84
  5. Step 5: Solve for x
    x = 11,172,621,495.84/138,104.30
  6. Step 6: Final answer
    x = 80,899.88

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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.