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Finding the Fourth Proportional to 186,858.60, 280,485.18 and 87,115

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Solution

The fourth proportional to 186,858.60, 280,485.18 and 87,115 is: 130,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,858.60 : 280,485.18 = 87,115 : x
  2. Step 2: Convert to fraction form
    186,858.60/280,485.18 = 87,115/x
  3. Step 3: Cross multiply
    186,858.60x = 280,485.18 × 87,115
  4. Step 4: Simplify right side
    186,858.60x = 24,434,466,455.70
  5. Step 5: Solve for x
    x = 24,434,466,455.70/186,858.60
  6. Step 6: Final answer
    x = 130,764.47

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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.