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Finding the Fourth Proportional to 137,020, 205,530.08 and 38,524

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Solution

The fourth proportional to 137,020, 205,530.08 and 38,524 is: 57,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,020 : 205,530.08 = 38,524 : x
  2. Step 2: Convert to fraction form
    137,020/205,530.08 = 38,524/x
  3. Step 3: Cross multiply
    137,020x = 205,530.08 × 38,524
  4. Step 4: Simplify right side
    137,020x = 7,917,840,801.92
  5. Step 5: Solve for x
    x = 7,917,840,801.92/137,020
  6. Step 6: Final answer
    x = 57,786.02

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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.