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Finding the Fourth Proportional to 276,032.57, 414,048.33 and 86,507.45

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Solution

The fourth proportional to 276,032.57, 414,048.33 and 86,507.45 is: 129,761.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,032.57 : 414,048.33 = 86,507.45 : x
  2. Step 2: Convert to fraction form
    276,032.57/414,048.33 = 86,507.45/x
  3. Step 3: Cross multiply
    276,032.57x = 414,048.33 × 86,507.45
  4. Step 4: Simplify right side
    276,032.57x = 35,818,263,134.82
  5. Step 5: Solve for x
    x = 35,818,263,134.82/276,032.57
  6. Step 6: Final answer
    x = 129,761.01

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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.