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Finding the Fourth Proportional to 276,041.16, 414,061.84 and 86,516.24

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Solution

The fourth proportional to 276,041.16, 414,061.84 and 86,516.24 is: 129,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,041.16 : 414,061.84 = 86,516.24 : x
  2. Step 2: Convert to fraction form
    276,041.16/414,061.84 = 86,516.24/x
  3. Step 3: Cross multiply
    276,041.16x = 414,061.84 × 86,516.24
  4. Step 4: Simplify right side
    276,041.16x = 35,823,071,237.68
  5. Step 5: Solve for x
    x = 35,823,071,237.68/276,041.16
  6. Step 6: Final answer
    x = 129,774.38

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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.