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Finding the Fourth Proportional to 98,396.64, 147,743.60 and 78,616.48

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Solution

The fourth proportional to 98,396.64, 147,743.60 and 78,616.48 is: 118,043.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,396.64 : 147,743.60 = 78,616.48 : x
  2. Step 2: Convert to fraction form
    98,396.64/147,743.60 = 78,616.48/x
  3. Step 3: Cross multiply
    98,396.64x = 147,743.60 × 78,616.48
  4. Step 4: Simplify right side
    98,396.64x = 11,615,081,774.53
  5. Step 5: Solve for x
    x = 11,615,081,774.53/98,396.64
  6. Step 6: Final answer
    x = 118,043.48

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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.