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Finding the Fourth Proportional to 138,357.64, 207,462.22 and 43,570.12

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Solution

The fourth proportional to 138,357.64, 207,462.22 and 43,570.12 is: 65,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,357.64 : 207,462.22 = 43,570.12 : x
  2. Step 2: Convert to fraction form
    138,357.64/207,462.22 = 43,570.12/x
  3. Step 3: Cross multiply
    138,357.64x = 207,462.22 × 43,570.12
  4. Step 4: Simplify right side
    138,357.64x = 9,039,153,820.87
  5. Step 5: Solve for x
    x = 9,039,153,820.87/138,357.64
  6. Step 6: Final answer
    x = 65,331.80

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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.