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Finding the Fourth Proportional to 138,210.48, 207,359.52 and 49,462

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Solution

The fourth proportional to 138,210.48, 207,359.52 and 49,462 is: 74,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,210.48 : 207,359.52 = 49,462 : x
  2. Step 2: Convert to fraction form
    138,210.48/207,359.52 = 49,462/x
  3. Step 3: Cross multiply
    138,210.48x = 207,359.52 × 49,462
  4. Step 4: Simplify right side
    138,210.48x = 10,256,416,578.24
  5. Step 5: Solve for x
    x = 10,256,416,578.24/138,210.48
  6. Step 6: Final answer
    x = 74,208.67

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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.