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Finding the Fourth Proportional to 107,335.86, 161,049.35 and 57,403

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Solution

The fourth proportional to 107,335.86, 161,049.35 and 57,403 is: 86,128.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,335.86 : 161,049.35 = 57,403 : x
  2. Step 2: Convert to fraction form
    107,335.86/161,049.35 = 57,403/x
  3. Step 3: Cross multiply
    107,335.86x = 161,049.35 × 57,403
  4. Step 4: Simplify right side
    107,335.86x = 9,244,715,838.05
  5. Step 5: Solve for x
    x = 9,244,715,838.05/107,335.86
  6. Step 6: Final answer
    x = 86,128.87

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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.