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Finding the Fourth Proportional to 161,965.30, 243,057.30 and 90,887.80

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Solution

The fourth proportional to 161,965.30, 243,057.30 and 90,887.80 is: 136,393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,965.30 : 243,057.30 = 90,887.80 : x
  2. Step 2: Convert to fraction form
    161,965.30/243,057.30 = 90,887.80/x
  3. Step 3: Cross multiply
    161,965.30x = 243,057.30 × 90,887.80
  4. Step 4: Simplify right side
    161,965.30x = 22,090,943,270.94
  5. Step 5: Solve for x
    x = 22,090,943,270.94/161,965.30
  6. Step 6: Final answer
    x = 136,393.06

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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.