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Finding the Fourth Proportional to 85,816.60, 128,648.10 and 33,208.60

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Solution

The fourth proportional to 85,816.60, 128,648.10 and 33,208.60 is: 49,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,816.60 : 128,648.10 = 33,208.60 : x
  2. Step 2: Convert to fraction form
    85,816.60/128,648.10 = 33,208.60/x
  3. Step 3: Cross multiply
    85,816.60x = 128,648.10 × 33,208.60
  4. Step 4: Simplify right side
    85,816.60x = 4,272,223,293.66
  5. Step 5: Solve for x
    x = 4,272,223,293.66/85,816.60
  6. Step 6: Final answer
    x = 49,783.18

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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.