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Finding the Fourth Proportional to 98,449.16, 135,812.54 and 64,442.68

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Solution

The fourth proportional to 98,449.16, 135,812.54 and 64,442.68 is: 88,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,449.16 : 135,812.54 = 64,442.68 : x
  2. Step 2: Convert to fraction form
    98,449.16/135,812.54 = 64,442.68/x
  3. Step 3: Cross multiply
    98,449.16x = 135,812.54 × 64,442.68
  4. Step 4: Simplify right side
    98,449.16x = 8,752,124,055.21
  5. Step 5: Solve for x
    x = 8,752,124,055.21/98,449.16
  6. Step 6: Final answer
    x = 88,899.94

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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.