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Finding the Fourth Proportional to 98,448.16, 135,811.16 and 64,441.68

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Solution

The fourth proportional to 98,448.16, 135,811.16 and 64,441.68 is: 88,898.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,448.16 : 135,811.16 = 64,441.68 : x
  2. Step 2: Convert to fraction form
    98,448.16/135,811.16 = 64,441.68/x
  3. Step 3: Cross multiply
    98,448.16x = 135,811.16 × 64,441.68
  4. Step 4: Simplify right side
    98,448.16x = 8,751,899,313.15
  5. Step 5: Solve for x
    x = 8,751,899,313.15/98,448.16
  6. Step 6: Final answer
    x = 88,898.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.