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Finding the Fourth Proportional to 98,470.58, 147,704.78 and 66,802.20

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Solution

The fourth proportional to 98,470.58, 147,704.78 and 66,802.20 is: 100,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,470.58 : 147,704.78 = 66,802.20 : x
  2. Step 2: Convert to fraction form
    98,470.58/147,704.78 = 66,802.20/x
  3. Step 3: Cross multiply
    98,470.58x = 147,704.78 × 66,802.20
  4. Step 4: Simplify right side
    98,470.58x = 9,867,004,254.52
  5. Step 5: Solve for x
    x = 9,867,004,254.52/98,470.58
  6. Step 6: Final answer
    x = 100,202.56

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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.