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Finding the Fourth Proportional to 138,530.92, 207,807.30 and 43,768.42

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Solution

The fourth proportional to 138,530.92, 207,807.30 and 43,768.42 is: 65,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,530.92 : 207,807.30 = 43,768.42 : x
  2. Step 2: Convert to fraction form
    138,530.92/207,807.30 = 43,768.42/x
  3. Step 3: Cross multiply
    138,530.92x = 207,807.30 × 43,768.42
  4. Step 4: Simplify right side
    138,530.92x = 9,095,397,185.47
  5. Step 5: Solve for x
    x = 9,095,397,185.47/138,530.92
  6. Step 6: Final answer
    x = 65,656.08

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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.