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Finding the Fourth Proportional to 161,161.64, 241,658.91 and 85,301.30

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Solution

The fourth proportional to 161,161.64, 241,658.91 and 85,301.30 is: 127,907.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,161.64 : 241,658.91 = 85,301.30 : x
  2. Step 2: Convert to fraction form
    161,161.64/241,658.91 = 85,301.30/x
  3. Step 3: Cross multiply
    161,161.64x = 241,658.91 × 85,301.30
  4. Step 4: Simplify right side
    161,161.64x = 20,613,817,971.29
  5. Step 5: Solve for x
    x = 20,613,817,971.29/161,161.64
  6. Step 6: Final answer
    x = 127,907.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.