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Finding the Fourth Proportional to 139,569.48, 209,322.77 and 39,727.46

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Solution

The fourth proportional to 139,569.48, 209,322.77 and 39,727.46 is: 59,582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,569.48 : 209,322.77 = 39,727.46 : x
  2. Step 2: Convert to fraction form
    139,569.48/209,322.77 = 39,727.46/x
  3. Step 3: Cross multiply
    139,569.48x = 209,322.77 × 39,727.46
  4. Step 4: Simplify right side
    139,569.48x = 8,315,861,972.26
  5. Step 5: Solve for x
    x = 8,315,861,972.26/139,569.48
  6. Step 6: Final answer
    x = 59,582.24

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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.