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Finding the Fourth Proportional to 85,904.40, 128,637.90 and 81,967.80

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Solution

The fourth proportional to 85,904.40, 128,637.90 and 81,967.80 is: 122,743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,904.40 : 128,637.90 = 81,967.80 : x
  2. Step 2: Convert to fraction form
    85,904.40/128,637.90 = 81,967.80/x
  3. Step 3: Cross multiply
    85,904.40x = 128,637.90 × 81,967.80
  4. Step 4: Simplify right side
    85,904.40x = 10,544,165,659.62
  5. Step 5: Solve for x
    x = 10,544,165,659.62/85,904.40
  6. Step 6: Final answer
    x = 122,743.02

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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.