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Finding the Fourth Proportional to 276,053.94, 414,080.15 and 86,528.70

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Solution

The fourth proportional to 276,053.94, 414,080.15 and 86,528.70 is: 129,792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,053.94 : 414,080.15 = 86,528.70 : x
  2. Step 2: Convert to fraction form
    276,053.94/414,080.15 = 86,528.70/x
  3. Step 3: Cross multiply
    276,053.94x = 414,080.15 × 86,528.70
  4. Step 4: Simplify right side
    276,053.94x = 35,829,816,642.66
  5. Step 5: Solve for x
    x = 35,829,816,642.66/276,053.94
  6. Step 6: Final answer
    x = 129,792.81

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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.