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Finding the Fourth Proportional to 137,888.54, 190,306.78 and 84,204.68

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Solution

The fourth proportional to 137,888.54, 190,306.78 and 84,204.68 is: 116,215.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,888.54 : 190,306.78 = 84,204.68 : x
  2. Step 2: Convert to fraction form
    137,888.54/190,306.78 = 84,204.68/x
  3. Step 3: Cross multiply
    137,888.54x = 190,306.78 × 84,204.68
  4. Step 4: Simplify right side
    137,888.54x = 16,024,721,511.73
  5. Step 5: Solve for x
    x = 16,024,721,511.73/137,888.54
  6. Step 6: Final answer
    x = 116,215.04

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1.5x scale

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.