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Finding the Fourth Proportional to 98,311.48, 135,564.78 and 64,719.16

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Solution

The fourth proportional to 98,311.48, 135,564.78 and 64,719.16 is: 89,243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,311.48 : 135,564.78 = 64,719.16 : x
  2. Step 2: Convert to fraction form
    98,311.48/135,564.78 = 64,719.16/x
  3. Step 3: Cross multiply
    98,311.48x = 135,564.78 × 64,719.16
  4. Step 4: Simplify right side
    98,311.48x = 8,773,638,687.18
  5. Step 5: Solve for x
    x = 8,773,638,687.18/98,311.48
  6. Step 6: Final answer
    x = 89,243.28

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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.