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Finding the Fourth Proportional to 138,412.80, 207,619.34 and 38,573.28

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Solution

The fourth proportional to 138,412.80, 207,619.34 and 38,573.28 is: 57,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,412.80 : 207,619.34 = 38,573.28 : x
  2. Step 2: Convert to fraction form
    138,412.80/207,619.34 = 38,573.28/x
  3. Step 3: Cross multiply
    138,412.80x = 207,619.34 × 38,573.28
  4. Step 4: Simplify right side
    138,412.80x = 8,008,558,742.37
  5. Step 5: Solve for x
    x = 8,008,558,742.37/138,412.80
  6. Step 6: Final answer
    x = 57,859.96

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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.