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Finding the Fourth Proportional to 137,209.20, 205,943.40 and 84,721.20

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Solution

The fourth proportional to 137,209.20, 205,943.40 and 84,721.20 is: 127,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,209.20 : 205,943.40 = 84,721.20 : x
  2. Step 2: Convert to fraction form
    137,209.20/205,943.40 = 84,721.20/x
  3. Step 3: Cross multiply
    137,209.20x = 205,943.40 × 84,721.20
  4. Step 4: Simplify right side
    137,209.20x = 17,447,771,980.08
  5. Step 5: Solve for x
    x = 17,447,771,980.08/137,209.20
  6. Step 6: Final answer
    x = 127,161.82

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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.