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Finding the Fourth Proportional to 138,038.56, 207,101.60 and 49,290.16

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Solution

The fourth proportional to 138,038.56, 207,101.60 and 49,290.16 is: 73,950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,038.56 : 207,101.60 = 49,290.16 : x
  2. Step 2: Convert to fraction form
    138,038.56/207,101.60 = 49,290.16/x
  3. Step 3: Cross multiply
    138,038.56x = 207,101.60 × 49,290.16
  4. Step 4: Simplify right side
    138,038.56x = 10,208,071,000.26
  5. Step 5: Solve for x
    x = 10,208,071,000.26/138,038.56
  6. Step 6: Final answer
    x = 73,950.87

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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.