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Finding the Fourth Proportional to 186,643.72, 280,081.72 and 75,835.72

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Solution

The fourth proportional to 186,643.72, 280,081.72 and 75,835.72 is: 113,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,643.72 : 280,081.72 = 75,835.72 : x
  2. Step 2: Convert to fraction form
    186,643.72/280,081.72 = 75,835.72/x
  3. Step 3: Cross multiply
    186,643.72x = 280,081.72 × 75,835.72
  4. Step 4: Simplify right side
    186,643.72x = 21,240,198,895.04
  5. Step 5: Solve for x
    x = 21,240,198,895.04/186,643.72
  6. Step 6: Final answer
    x = 113,800.77

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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.