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Finding the Fourth Proportional to 131,570, 197,357.04 and 38,076.08

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Solution

The fourth proportional to 131,570, 197,357.04 and 38,076.08 is: 57,114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,570 : 197,357.04 = 38,076.08 : x
  2. Step 2: Convert to fraction form
    131,570/197,357.04 = 38,076.08/x
  3. Step 3: Cross multiply
    131,570x = 197,357.04 × 38,076.08
  4. Step 4: Simplify right side
    131,570x = 7,514,582,443.60
  5. Step 5: Solve for x
    x = 7,514,582,443.60/131,570
  6. Step 6: Final answer
    x = 57,114.71

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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.