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Finding the Fourth Proportional to 98,381.64, 135,749.70 and 55,355.16

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Solution

The fourth proportional to 98,381.64, 135,749.70 and 55,355.16 is: 76,380.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,381.64 : 135,749.70 = 55,355.16 : x
  2. Step 2: Convert to fraction form
    98,381.64/135,749.70 = 55,355.16/x
  3. Step 3: Cross multiply
    98,381.64x = 135,749.70 × 55,355.16
  4. Step 4: Simplify right side
    98,381.64x = 7,514,446,363.45
  5. Step 5: Solve for x
    x = 7,514,446,363.45/98,381.64
  6. Step 6: Final answer
    x = 76,380.58

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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.