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Finding the Fourth Proportional to 276,188.85, 414,283.32 and 86,678.46

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Solution

The fourth proportional to 276,188.85, 414,283.32 and 86,678.46 is: 130,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,188.85 : 414,283.32 = 86,678.46 : x
  2. Step 2: Convert to fraction form
    276,188.85/414,283.32 = 86,678.46/x
  3. Step 3: Cross multiply
    276,188.85x = 414,283.32 × 86,678.46
  4. Step 4: Simplify right side
    276,188.85x = 35,909,440,181.29
  5. Step 5: Solve for x
    x = 35,909,440,181.29/276,188.85
  6. Step 6: Final answer
    x = 130,017.70

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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.