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Finding the Fourth Proportional to 138,308, 207,462.08 and 39,812

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Solution

The fourth proportional to 138,308, 207,462.08 and 39,812 is: 59,718.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,308 : 207,462.08 = 39,812 : x
  2. Step 2: Convert to fraction form
    138,308/207,462.08 = 39,812/x
  3. Step 3: Cross multiply
    138,308x = 207,462.08 × 39,812
  4. Step 4: Simplify right side
    138,308x = 8,259,480,328.96
  5. Step 5: Solve for x
    x = 8,259,480,328.96/138,308
  6. Step 6: Final answer
    x = 59,718.02

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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.