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Finding the Fourth Proportional to 115,206, 158,984.28 and 62,214

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Solution

The fourth proportional to 115,206, 158,984.28 and 62,214 is: 85,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,206 : 158,984.28 = 62,214 : x
  2. Step 2: Convert to fraction form
    115,206/158,984.28 = 62,214/x
  3. Step 3: Cross multiply
    115,206x = 158,984.28 × 62,214
  4. Step 4: Simplify right side
    115,206x = 9,891,047,995.92
  5. Step 5: Solve for x
    x = 9,891,047,995.92/115,206
  6. Step 6: Final answer
    x = 85,855.32

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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.