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Finding the Fourth Proportional to 138,530.58, 207,712.53 and 54,190.14

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Solution

The fourth proportional to 138,530.58, 207,712.53 and 54,190.14 is: 81,252.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,530.58 : 207,712.53 = 54,190.14 : x
  2. Step 2: Convert to fraction form
    138,530.58/207,712.53 = 54,190.14/x
  3. Step 3: Cross multiply
    138,530.58x = 207,712.53 × 54,190.14
  4. Step 4: Simplify right side
    138,530.58x = 11,255,971,080.45
  5. Step 5: Solve for x
    x = 11,255,971,080.45/138,530.58
  6. Step 6: Final answer
    x = 81,252.61

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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.