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Finding the Fourth Proportional to 139,708.98, 209,565.39 and 39,869.13

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Solution

The fourth proportional to 139,708.98, 209,565.39 and 39,869.13 is: 59,804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,708.98 : 209,565.39 = 39,869.13 : x
  2. Step 2: Convert to fraction form
    139,708.98/209,565.39 = 39,869.13/x
  3. Step 3: Cross multiply
    139,708.98x = 209,565.39 × 39,869.13
  4. Step 4: Simplify right side
    139,708.98x = 8,355,189,777.41
  5. Step 5: Solve for x
    x = 8,355,189,777.41/139,708.98
  6. Step 6: Final answer
    x = 59,804.24

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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.