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Finding the Fourth Proportional to 78,967.02, 108,960.75 and 47,134.02

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Solution

The fourth proportional to 78,967.02, 108,960.75 and 47,134.02 is: 65,036.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,967.02 : 108,960.75 = 47,134.02 : x
  2. Step 2: Convert to fraction form
    78,967.02/108,960.75 = 47,134.02/x
  3. Step 3: Cross multiply
    78,967.02x = 108,960.75 × 47,134.02
  4. Step 4: Simplify right side
    78,967.02x = 5,135,758,169.72
  5. Step 5: Solve for x
    x = 5,135,758,169.72/78,967.02
  6. Step 6: Final answer
    x = 65,036.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.