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Finding the Fourth Proportional to 245,402.56, 338,655.12 and 137,972.80

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Solution

The fourth proportional to 245,402.56, 338,655.12 and 137,972.80 is: 190,402.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,402.56 : 338,655.12 = 137,972.80 : x
  2. Step 2: Convert to fraction form
    245,402.56/338,655.12 = 137,972.80/x
  3. Step 3: Cross multiply
    245,402.56x = 338,655.12 × 137,972.80
  4. Step 4: Simplify right side
    245,402.56x = 46,725,195,140.74
  5. Step 5: Solve for x
    x = 46,725,195,140.74/245,402.56
  6. Step 6: Final answer
    x = 190,402.23

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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.