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Finding the Fourth Proportional to 98,047.28, 147,070.94 and 68,522.78

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Solution

The fourth proportional to 98,047.28, 147,070.94 and 68,522.78 is: 102,784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,047.28 : 147,070.94 = 68,522.78 : x
  2. Step 2: Convert to fraction form
    98,047.28/147,070.94 = 68,522.78/x
  3. Step 3: Cross multiply
    98,047.28x = 147,070.94 × 68,522.78
  4. Step 4: Simplify right side
    98,047.28x = 10,077,709,691.08
  5. Step 5: Solve for x
    x = 10,077,709,691.08/98,047.28
  6. Step 6: Final answer
    x = 102,784.18

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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.