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Finding the Fourth Proportional to 98,164.62, 135,462.51 and 55,717.38

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Solution

The fourth proportional to 98,164.62, 135,462.51 and 55,717.38 is: 76,887.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,164.62 : 135,462.51 = 55,717.38 : x
  2. Step 2: Convert to fraction form
    98,164.62/135,462.51 = 55,717.38/x
  3. Step 3: Cross multiply
    98,164.62x = 135,462.51 × 55,717.38
  4. Step 4: Simplify right side
    98,164.62x = 7,547,616,145.42
  5. Step 5: Solve for x
    x = 7,547,616,145.42/98,164.62
  6. Step 6: Final answer
    x = 76,887.34

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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.