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Finding the Fourth Proportional to 204,534, 306,987.12 and 104,762.88

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Solution

The fourth proportional to 204,534, 306,987.12 and 104,762.88 is: 157,239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,534 : 306,987.12 = 104,762.88 : x
  2. Step 2: Convert to fraction form
    204,534/306,987.12 = 104,762.88/x
  3. Step 3: Cross multiply
    204,534x = 306,987.12 × 104,762.88
  4. Step 4: Simplify right side
    204,534x = 32,160,854,814.11
  5. Step 5: Solve for x
    x = 32,160,854,814.11/204,534
  6. Step 6: Final answer
    x = 157,239.65

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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.