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Finding the Fourth Proportional to 139,297.86, 208,982.16 and 64,471.95

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Solution

The fourth proportional to 139,297.86, 208,982.16 and 64,471.95 is: 96,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,297.86 : 208,982.16 = 64,471.95 : x
  2. Step 2: Convert to fraction form
    139,297.86/208,982.16 = 64,471.95/x
  3. Step 3: Cross multiply
    139,297.86x = 208,982.16 × 64,471.95
  4. Step 4: Simplify right side
    139,297.86x = 13,473,487,370.41
  5. Step 5: Solve for x
    x = 13,473,487,370.41/139,297.86
  6. Step 6: Final answer
    x = 96,724.30

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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.