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Finding the Fourth Proportional to 161,064, 222,271.26 and 89,450.64

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Solution

The fourth proportional to 161,064, 222,271.26 and 89,450.64 is: 123,443.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,064 : 222,271.26 = 89,450.64 : x
  2. Step 2: Convert to fraction form
    161,064/222,271.26 = 89,450.64/x
  3. Step 3: Cross multiply
    161,064x = 222,271.26 × 89,450.64
  4. Step 4: Simplify right side
    161,064x = 19,882,306,460.61
  5. Step 5: Solve for x
    x = 19,882,306,460.61/161,064
  6. Step 6: Final answer
    x = 123,443.52

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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.