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Finding the Fourth Proportional to 276,055.92, 414,083.31 and 86,530.86

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Solution

The fourth proportional to 276,055.92, 414,083.31 and 86,530.86 is: 129,796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,055.92 : 414,083.31 = 86,530.86 : x
  2. Step 2: Convert to fraction form
    276,055.92/414,083.31 = 86,530.86/x
  3. Step 3: Cross multiply
    276,055.92x = 414,083.31 × 86,530.86
  4. Step 4: Simplify right side
    276,055.92x = 35,830,984,925.95
  5. Step 5: Solve for x
    x = 35,830,984,925.95/276,055.92
  6. Step 6: Final answer
    x = 129,796.11

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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.