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Finding the Fourth Proportional to 75,659.84, 113,497.28 and 28,952

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Solution

The fourth proportional to 75,659.84, 113,497.28 and 28,952 is: 43,430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,659.84 : 113,497.28 = 28,952 : x
  2. Step 2: Convert to fraction form
    75,659.84/113,497.28 = 28,952/x
  3. Step 3: Cross multiply
    75,659.84x = 113,497.28 × 28,952
  4. Step 4: Simplify right side
    75,659.84x = 3,285,973,250.56
  5. Step 5: Solve for x
    x = 3,285,973,250.56/75,659.84
  6. Step 6: Final answer
    x = 43,430.88

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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.