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Finding the Fourth Proportional to 138,487.46, 207,824.54 and 48,530.98

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Solution

The fourth proportional to 138,487.46, 207,824.54 and 48,530.98 is: 72,829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,487.46 : 207,824.54 = 48,530.98 : x
  2. Step 2: Convert to fraction form
    138,487.46/207,824.54 = 48,530.98/x
  3. Step 3: Cross multiply
    138,487.46x = 207,824.54 × 48,530.98
  4. Step 4: Simplify right side
    138,487.46x = 10,085,928,594.25
  5. Step 5: Solve for x
    x = 10,085,928,594.25/138,487.46
  6. Step 6: Final answer
    x = 72,829.18

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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.