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Finding the Fourth Proportional to 75,317.64, 112,754.54 and 65,975.90

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Solution

The fourth proportional to 75,317.64, 112,754.54 and 65,975.90 is: 98,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,317.64 : 112,754.54 = 65,975.90 : x
  2. Step 2: Convert to fraction form
    75,317.64/112,754.54 = 65,975.90/x
  3. Step 3: Cross multiply
    75,317.64x = 112,754.54 × 65,975.90
  4. Step 4: Simplify right side
    75,317.64x = 7,439,082,255.59
  5. Step 5: Solve for x
    x = 7,439,082,255.59/75,317.64
  6. Step 6: Final answer
    x = 98,769.46

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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.