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Finding the Fourth Proportional to 138,203.46, 207,349.02 and 49,455

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Solution

The fourth proportional to 138,203.46, 207,349.02 and 49,455 is: 74,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,203.46 : 207,349.02 = 49,455 : x
  2. Step 2: Convert to fraction form
    138,203.46/207,349.02 = 49,455/x
  3. Step 3: Cross multiply
    138,203.46x = 207,349.02 × 49,455
  4. Step 4: Simplify right side
    138,203.46x = 10,254,445,784.10
  5. Step 5: Solve for x
    x = 10,254,445,784.10/138,203.46
  6. Step 6: Final answer
    x = 74,198.18

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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.