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Finding the Fourth Proportional to 103,538.88, 155,308.53 and 28,659.24

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Solution

The fourth proportional to 103,538.88, 155,308.53 and 28,659.24 is: 42,988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,538.88 : 155,308.53 = 28,659.24 : x
  2. Step 2: Convert to fraction form
    103,538.88/155,308.53 = 28,659.24/x
  3. Step 3: Cross multiply
    103,538.88x = 155,308.53 × 28,659.24
  4. Step 4: Simplify right side
    103,538.88x = 4,451,023,796.19
  5. Step 5: Solve for x
    x = 4,451,023,796.19/103,538.88
  6. Step 6: Final answer
    x = 42,988.91

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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.