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Finding the Fourth Proportional to 186,947.60, 280,421.40 and 87,074.60

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Solution

The fourth proportional to 186,947.60, 280,421.40 and 87,074.60 is: 130,611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,947.60 : 280,421.40 = 87,074.60 : x
  2. Step 2: Convert to fraction form
    186,947.60/280,421.40 = 87,074.60/x
  3. Step 3: Cross multiply
    186,947.60x = 280,421.40 × 87,074.60
  4. Step 4: Simplify right side
    186,947.60x = 24,417,581,236.44
  5. Step 5: Solve for x
    x = 24,417,581,236.44/186,947.60
  6. Step 6: Final answer
    x = 130,611.90

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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.