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Finding the Fourth Proportional to 77,126.70, 115,718.85 and 30,412.14

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Solution

The fourth proportional to 77,126.70, 115,718.85 and 30,412.14 is: 45,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,126.70 : 115,718.85 = 30,412.14 : x
  2. Step 2: Convert to fraction form
    77,126.70/115,718.85 = 30,412.14/x
  3. Step 3: Cross multiply
    77,126.70x = 115,718.85 × 30,412.14
  4. Step 4: Simplify right side
    77,126.70x = 3,519,257,866.84
  5. Step 5: Solve for x
    x = 3,519,257,866.84/77,126.70
  6. Step 6: Final answer
    x = 45,629.57

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1.5x scale

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.