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Finding the Fourth Proportional to 146,142.72, 201,813.28 and 107,564

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Solution

The fourth proportional to 146,142.72, 201,813.28 and 107,564 is: 148,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,142.72 : 201,813.28 = 107,564 : x
  2. Step 2: Convert to fraction form
    146,142.72/201,813.28 = 107,564/x
  3. Step 3: Cross multiply
    146,142.72x = 201,813.28 × 107,564
  4. Step 4: Simplify right side
    146,142.72x = 21,707,843,649.92
  5. Step 5: Solve for x
    x = 21,707,843,649.92/146,142.72
  6. Step 6: Final answer
    x = 148,538.66

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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.