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Finding the Fourth Proportional to 138,081.36, 207,122.52 and 42,019.50

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Solution

The fourth proportional to 138,081.36, 207,122.52 and 42,019.50 is: 63,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,081.36 : 207,122.52 = 42,019.50 : x
  2. Step 2: Convert to fraction form
    138,081.36/207,122.52 = 42,019.50/x
  3. Step 3: Cross multiply
    138,081.36x = 207,122.52 × 42,019.50
  4. Step 4: Simplify right side
    138,081.36x = 8,703,184,729.14
  5. Step 5: Solve for x
    x = 8,703,184,729.14/138,081.36
  6. Step 6: Final answer
    x = 63,029.40

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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.