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Finding the Fourth Proportional to 138,409.86, 207,483.56 and 44,850

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Solution

The fourth proportional to 138,409.86, 207,483.56 and 44,850 is: 67,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,409.86 : 207,483.56 = 44,850 : x
  2. Step 2: Convert to fraction form
    138,409.86/207,483.56 = 44,850/x
  3. Step 3: Cross multiply
    138,409.86x = 207,483.56 × 44,850
  4. Step 4: Simplify right side
    138,409.86x = 9,305,637,666
  5. Step 5: Solve for x
    x = 9,305,637,666/138,409.86
  6. Step 6: Final answer
    x = 67,232.48

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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.