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Finding the Fourth Proportional to 98,478.72, 147,716.92 and 66,810.32

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Solution

The fourth proportional to 98,478.72, 147,716.92 and 66,810.32 is: 100,214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,478.72 : 147,716.92 = 66,810.32 : x
  2. Step 2: Convert to fraction form
    98,478.72/147,716.92 = 66,810.32/x
  3. Step 3: Cross multiply
    98,478.72x = 147,716.92 × 66,810.32
  4. Step 4: Simplify right side
    98,478.72x = 9,869,014,694.61
  5. Step 5: Solve for x
    x = 9,869,014,694.61/98,478.72
  6. Step 6: Final answer
    x = 100,214.69

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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.