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Finding the Fourth Proportional to 186,300.81, 278,592.82 and 138,359.95

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Solution

The fourth proportional to 186,300.81, 278,592.82 and 138,359.95 is: 206,902.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,300.81 : 278,592.82 = 138,359.95 : x
  2. Step 2: Convert to fraction form
    186,300.81/278,592.82 = 138,359.95/x
  3. Step 3: Cross multiply
    186,300.81x = 278,592.82 × 138,359.95
  4. Step 4: Simplify right side
    186,300.81x = 38,546,087,603.18
  5. Step 5: Solve for x
    x = 38,546,087,603.18/186,300.81
  6. Step 6: Final answer
    x = 206,902.42

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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.