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Finding the Fourth Proportional to 138,014.56, 207,065.60 and 49,266.16

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Solution

The fourth proportional to 138,014.56, 207,065.60 and 49,266.16 is: 73,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,014.56 : 207,065.60 = 49,266.16 : x
  2. Step 2: Convert to fraction form
    138,014.56/207,065.60 = 49,266.16/x
  3. Step 3: Cross multiply
    138,014.56x = 207,065.60 × 49,266.16
  4. Step 4: Simplify right side
    138,014.56x = 10,201,326,980.10
  5. Step 5: Solve for x
    x = 10,201,326,980.10/138,014.56
  6. Step 6: Final answer
    x = 73,914.86

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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.