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Finding the Fourth Proportional to 186,969.13, 280,454.15 and 74,658.49

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Solution

The fourth proportional to 186,969.13, 280,454.15 and 74,658.49 is: 111,987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,969.13 : 280,454.15 = 74,658.49 : x
  2. Step 2: Convert to fraction form
    186,969.13/280,454.15 = 74,658.49/x
  3. Step 3: Cross multiply
    186,969.13x = 280,454.15 × 74,658.49
  4. Step 4: Simplify right side
    186,969.13x = 20,938,282,838.74
  5. Step 5: Solve for x
    x = 20,938,282,838.74/186,969.13
  6. Step 6: Final answer
    x = 111,987.92

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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.