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Finding the Fourth Proportional to 77,652.68, 107,126.97 and 49,343.18

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Solution

The fourth proportional to 77,652.68, 107,126.97 and 49,343.18 is: 68,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,652.68 : 107,126.97 = 49,343.18 : x
  2. Step 2: Convert to fraction form
    77,652.68/107,126.97 = 49,343.18/x
  3. Step 3: Cross multiply
    77,652.68x = 107,126.97 × 49,343.18
  4. Step 4: Simplify right side
    77,652.68x = 5,285,985,363.56
  5. Step 5: Solve for x
    x = 5,285,985,363.56/77,652.68
  6. Step 6: Final answer
    x = 68,072.16

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1.5x scale

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.