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Finding the Fourth Proportional to 77,119.92, 106,424.74 and 43,128.02

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Solution

The fourth proportional to 77,119.92, 106,424.74 and 43,128.02 is: 59,516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,119.92 : 106,424.74 = 43,128.02 : x
  2. Step 2: Convert to fraction form
    77,119.92/106,424.74 = 43,128.02/x
  3. Step 3: Cross multiply
    77,119.92x = 106,424.74 × 43,128.02
  4. Step 4: Simplify right side
    77,119.92x = 4,589,888,315.21
  5. Step 5: Solve for x
    x = 4,589,888,315.21/77,119.92
  6. Step 6: Final answer
    x = 59,516.25

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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.