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Finding the Fourth Proportional to 100,665.72, 138,922.56 and 57,652.02

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Solution

The fourth proportional to 100,665.72, 138,922.56 and 57,652.02 is: 79,562.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,665.72 : 138,922.56 = 57,652.02 : x
  2. Step 2: Convert to fraction form
    100,665.72/138,922.56 = 57,652.02/x
  3. Step 3: Cross multiply
    100,665.72x = 138,922.56 × 57,652.02
  4. Step 4: Simplify right side
    100,665.72x = 8,009,166,207.57
  5. Step 5: Solve for x
    x = 8,009,166,207.57/100,665.72
  6. Step 6: Final answer
    x = 79,562.00

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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.