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Finding the Fourth Proportional to 98,468.64, 147,748.32 and 61,072.56

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Solution

The fourth proportional to 98,468.64, 147,748.32 and 61,072.56 is: 91,636.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,468.64 : 147,748.32 = 61,072.56 : x
  2. Step 2: Convert to fraction form
    98,468.64/147,748.32 = 61,072.56/x
  3. Step 3: Cross multiply
    98,468.64x = 147,748.32 × 61,072.56
  4. Step 4: Simplify right side
    98,468.64x = 9,023,368,138.10
  5. Step 5: Solve for x
    x = 9,023,368,138.10/98,468.64
  6. Step 6: Final answer
    x = 91,636.97

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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.