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Finding the Fourth Proportional to 98,064.31, 147,096.47 and 68,539.81

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Solution

The fourth proportional to 98,064.31, 147,096.47 and 68,539.81 is: 102,809.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,064.31 : 147,096.47 = 68,539.81 : x
  2. Step 2: Convert to fraction form
    98,064.31/147,096.47 = 68,539.81/x
  3. Step 3: Cross multiply
    98,064.31x = 147,096.47 × 68,539.81
  4. Step 4: Simplify right side
    98,064.31x = 10,081,964,105.47
  5. Step 5: Solve for x
    x = 10,081,964,105.47/98,064.31
  6. Step 6: Final answer
    x = 102,809.72

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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.