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Finding the Fourth Proportional to 169,722.24, 254,655.36 and 90,816

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Solution

The fourth proportional to 169,722.24, 254,655.36 and 90,816 is: 136,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,722.24 : 254,655.36 = 90,816 : x
  2. Step 2: Convert to fraction form
    169,722.24/254,655.36 = 90,816/x
  3. Step 3: Cross multiply
    169,722.24x = 254,655.36 × 90,816
  4. Step 4: Simplify right side
    169,722.24x = 23,126,781,173.76
  5. Step 5: Solve for x
    x = 23,126,781,173.76/169,722.24
  6. Step 6: Final answer
    x = 136,262.53

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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.