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Finding the Fourth Proportional to 287,080.38, 430,682.86 and 87,395.60

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Solution

The fourth proportional to 287,080.38, 430,682.86 and 87,395.60 is: 131,112.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,080.38 : 430,682.86 = 87,395.60 : x
  2. Step 2: Convert to fraction form
    287,080.38/430,682.86 = 87,395.60/x
  3. Step 3: Cross multiply
    287,080.38x = 430,682.86 × 87,395.60
  4. Step 4: Simplify right side
    287,080.38x = 37,639,786,959.42
  5. Step 5: Solve for x
    x = 37,639,786,959.42/287,080.38
  6. Step 6: Final answer
    x = 131,112.36

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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.