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Finding the Fourth Proportional to 107,115.72, 147,814 and 61,791

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Solution

The fourth proportional to 107,115.72, 147,814 and 61,791 is: 85,268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,115.72 : 147,814 = 61,791 : x
  2. Step 2: Convert to fraction form
    107,115.72/147,814 = 61,791/x
  3. Step 3: Cross multiply
    107,115.72x = 147,814 × 61,791
  4. Step 4: Simplify right side
    107,115.72x = 9,133,574,874
  5. Step 5: Solve for x
    x = 9,133,574,874/107,115.72
  6. Step 6: Final answer
    x = 85,268.30

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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.