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Finding the Fourth Proportional to 85,494.47, 128,241.71 and 23,164.97

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Solution

The fourth proportional to 85,494.47, 128,241.71 and 23,164.97 is: 34,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,494.47 : 128,241.71 = 23,164.97 : x
  2. Step 2: Convert to fraction form
    85,494.47/128,241.71 = 23,164.97/x
  3. Step 3: Cross multiply
    85,494.47x = 128,241.71 × 23,164.97
  4. Step 4: Simplify right side
    85,494.47x = 2,970,714,607.87
  5. Step 5: Solve for x
    x = 2,970,714,607.87/85,494.47
  6. Step 6: Final answer
    x = 34,747.45

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1.5x scale

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.