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Finding the Fourth Proportional to 245,300.80, 338,506.23 and 137,876.71

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Solution

The fourth proportional to 245,300.80, 338,506.23 and 137,876.71 is: 190,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,300.80 : 338,506.23 = 137,876.71 : x
  2. Step 2: Convert to fraction form
    245,300.80/338,506.23 = 137,876.71/x
  3. Step 3: Cross multiply
    245,300.80x = 338,506.23 × 137,876.71
  4. Step 4: Simplify right side
    245,300.80x = 46,672,125,306.90
  5. Step 5: Solve for x
    x = 46,672,125,306.90/245,300.80
  6. Step 6: Final answer
    x = 190,264.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.