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Finding the Fourth Proportional to 145,874.31, 201,326.27 and 85,469.06

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Solution

The fourth proportional to 145,874.31, 201,326.27 and 85,469.06 is: 117,958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,874.31 : 201,326.27 = 85,469.06 : x
  2. Step 2: Convert to fraction form
    145,874.31/201,326.27 = 85,469.06/x
  3. Step 3: Cross multiply
    145,874.31x = 201,326.27 × 85,469.06
  4. Step 4: Simplify right side
    145,874.31x = 17,207,167,050.21
  5. Step 5: Solve for x
    x = 17,207,167,050.21/145,874.31
  6. Step 6: Final answer
    x = 117,958.86

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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.