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Finding the Fourth Proportional to 75,700.15, 113,402.59 and 65,169.75

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Solution

The fourth proportional to 75,700.15, 113,402.59 and 65,169.75 is: 97,627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,700.15 : 113,402.59 = 65,169.75 : x
  2. Step 2: Convert to fraction form
    75,700.15/113,402.59 = 65,169.75/x
  3. Step 3: Cross multiply
    75,700.15x = 113,402.59 × 65,169.75
  4. Step 4: Simplify right side
    75,700.15x = 7,390,418,439.65
  5. Step 5: Solve for x
    x = 7,390,418,439.65/75,700.15
  6. Step 6: Final answer
    x = 97,627.53

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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.