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Finding the Fourth Proportional to 137,580, 189,860.40 and 81,026.16

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Solution

The fourth proportional to 137,580, 189,860.40 and 81,026.16 is: 111,816.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,580 : 189,860.40 = 81,026.16 : x
  2. Step 2: Convert to fraction form
    137,580/189,860.40 = 81,026.16/x
  3. Step 3: Cross multiply
    137,580x = 189,860.40 × 81,026.16
  4. Step 4: Simplify right side
    137,580x = 15,383,659,148.06
  5. Step 5: Solve for x
    x = 15,383,659,148.06/137,580
  6. Step 6: Final answer
    x = 111,816.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.