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Finding the Fourth Proportional to 49,798.60, 74,696.10 and 20,215.60

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Solution

The fourth proportional to 49,798.60, 74,696.10 and 20,215.60 is: 30,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,798.60 : 74,696.10 = 20,215.60 : x
  2. Step 2: Convert to fraction form
    49,798.60/74,696.10 = 20,215.60/x
  3. Step 3: Cross multiply
    49,798.60x = 74,696.10 × 20,215.60
  4. Step 4: Simplify right side
    49,798.60x = 1,510,026,479.16
  5. Step 5: Solve for x
    x = 1,510,026,479.16/49,798.60
  6. Step 6: Final answer
    x = 30,322.67

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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.