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Finding the Fourth Proportional to 138,809.53, 208,214.31 and 45,315.28

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Solution

The fourth proportional to 138,809.53, 208,214.31 and 45,315.28 is: 67,972.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,809.53 : 208,214.31 = 45,315.28 : x
  2. Step 2: Convert to fraction form
    138,809.53/208,214.31 = 45,315.28/x
  3. Step 3: Cross multiply
    138,809.53x = 208,214.31 × 45,315.28
  4. Step 4: Simplify right side
    138,809.53x = 9,435,290,187.86
  5. Step 5: Solve for x
    x = 9,435,290,187.86/138,809.53
  6. Step 6: Final answer
    x = 67,972.93

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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.