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Finding the Fourth Proportional to 169,890.78, 254,802.15 and 161,460.30

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Solution

The fourth proportional to 169,890.78, 254,802.15 and 161,460.30 is: 242,158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,890.78 : 254,802.15 = 161,460.30 : x
  2. Step 2: Convert to fraction form
    169,890.78/254,802.15 = 161,460.30/x
  3. Step 3: Cross multiply
    169,890.78x = 254,802.15 × 161,460.30
  4. Step 4: Simplify right side
    169,890.78x = 41,140,431,579.65
  5. Step 5: Solve for x
    x = 41,140,431,579.65/169,890.78
  6. Step 6: Final answer
    x = 242,158.12

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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.