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Finding the Fourth Proportional to 138,465.36, 207,725.88 and 49,725.84

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Solution

The fourth proportional to 138,465.36, 207,725.88 and 49,725.84 is: 74,598.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,465.36 : 207,725.88 = 49,725.84 : x
  2. Step 2: Convert to fraction form
    138,465.36/207,725.88 = 49,725.84/x
  3. Step 3: Cross multiply
    138,465.36x = 207,725.88 × 49,725.84
  4. Step 4: Simplify right side
    138,465.36x = 10,329,343,872.74
  5. Step 5: Solve for x
    x = 10,329,343,872.74/138,465.36
  6. Step 6: Final answer
    x = 74,598.76

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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.