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Finding the Fourth Proportional to 186,761.64, 280,317.42 and 86,990.70

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Solution

The fourth proportional to 186,761.64, 280,317.42 and 86,990.70 is: 130,567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,761.64 : 280,317.42 = 86,990.70 : x
  2. Step 2: Convert to fraction form
    186,761.64/280,317.42 = 86,990.70/x
  3. Step 3: Cross multiply
    186,761.64x = 280,317.42 × 86,990.70
  4. Step 4: Simplify right side
    186,761.64x = 24,385,008,587.99
  5. Step 5: Solve for x
    x = 24,385,008,587.99/186,761.64
  6. Step 6: Final answer
    x = 130,567.54

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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.