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Finding the Fourth Proportional to 137,978.48, 206,994.12 and 44,459.12

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Solution

The fourth proportional to 137,978.48, 206,994.12 and 44,459.12 is: 66,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,978.48 : 206,994.12 = 44,459.12 : x
  2. Step 2: Convert to fraction form
    137,978.48/206,994.12 = 44,459.12/x
  3. Step 3: Cross multiply
    137,978.48x = 206,994.12 × 44,459.12
  4. Step 4: Simplify right side
    137,978.48x = 9,202,776,420.37
  5. Step 5: Solve for x
    x = 9,202,776,420.37/137,978.48
  6. Step 6: Final answer
    x = 66,697.19

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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.