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Finding the Fourth Proportional to 96,412.20, 144,326.70 and 85,914.60

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Solution

The fourth proportional to 96,412.20, 144,326.70 and 85,914.60 is: 128,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,412.20 : 144,326.70 = 85,914.60 : x
  2. Step 2: Convert to fraction form
    96,412.20/144,326.70 = 85,914.60/x
  3. Step 3: Cross multiply
    96,412.20x = 144,326.70 × 85,914.60
  4. Step 4: Simplify right side
    96,412.20x = 12,399,770,699.82
  5. Step 5: Solve for x
    x = 12,399,770,699.82/96,412.20
  6. Step 6: Final answer
    x = 128,612.05

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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.