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Finding the Fourth Proportional to 276,065.19, 414,097.02 and 86,539.95

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Solution

The fourth proportional to 276,065.19, 414,097.02 and 86,539.95 is: 129,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,065.19 : 414,097.02 = 86,539.95 : x
  2. Step 2: Convert to fraction form
    276,065.19/414,097.02 = 86,539.95/x
  3. Step 3: Cross multiply
    276,065.19x = 414,097.02 × 86,539.95
  4. Step 4: Simplify right side
    276,065.19x = 35,835,935,405.95
  5. Step 5: Solve for x
    x = 35,835,935,405.95/276,065.19
  6. Step 6: Final answer
    x = 129,809.69

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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.