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Finding the Fourth Proportional to 138,362.45, 207,543.83 and 38,522.86

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Solution

The fourth proportional to 138,362.45, 207,543.83 and 38,522.86 is: 57,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,362.45 : 207,543.83 = 38,522.86 : x
  2. Step 2: Convert to fraction form
    138,362.45/207,543.83 = 38,522.86/x
  3. Step 3: Cross multiply
    138,362.45x = 207,543.83 × 38,522.86
  4. Step 4: Simplify right side
    138,362.45x = 7,995,181,973.77
  5. Step 5: Solve for x
    x = 7,995,181,973.77/138,362.45
  6. Step 6: Final answer
    x = 57,784.33

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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.