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Finding the Fourth Proportional to 138,776.89, 208,172.70 and 44,014.54

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Solution

The fourth proportional to 138,776.89, 208,172.70 and 44,014.54 is: 66,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,776.89 : 208,172.70 = 44,014.54 : x
  2. Step 2: Convert to fraction form
    138,776.89/208,172.70 = 44,014.54/x
  3. Step 3: Cross multiply
    138,776.89x = 208,172.70 × 44,014.54
  4. Step 4: Simplify right side
    138,776.89x = 9,162,625,631.06
  5. Step 5: Solve for x
    x = 9,162,625,631.06/138,776.89
  6. Step 6: Final answer
    x = 66,024.15

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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.