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Finding the Fourth Proportional to 169,891.78, 254,803.65 and 161,461.30

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Solution

The fourth proportional to 169,891.78, 254,803.65 and 161,461.30 is: 242,159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,891.78 : 254,803.65 = 161,461.30 : x
  2. Step 2: Convert to fraction form
    169,891.78/254,803.65 = 161,461.30/x
  3. Step 3: Cross multiply
    169,891.78x = 254,803.65 × 161,461.30
  4. Step 4: Simplify right side
    169,891.78x = 41,140,928,573.75
  5. Step 5: Solve for x
    x = 41,140,928,573.75/169,891.78
  6. Step 6: Final answer
    x = 242,159.62

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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.