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Finding the Fourth Proportional to 161,424.68, 222,762.70 and 89,803.16

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Solution

The fourth proportional to 161,424.68, 222,762.70 and 89,803.16 is: 123,926.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,424.68 : 222,762.70 = 89,803.16 : x
  2. Step 2: Convert to fraction form
    161,424.68/222,762.70 = 89,803.16/x
  3. Step 3: Cross multiply
    161,424.68x = 222,762.70 × 89,803.16
  4. Step 4: Simplify right side
    161,424.68x = 20,004,794,390.13
  5. Step 5: Solve for x
    x = 20,004,794,390.13/161,424.68
  6. Step 6: Final answer
    x = 123,926.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.