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Finding the Fourth Proportional to 161,368, 222,687.84 and 90,712

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Solution

The fourth proportional to 161,368, 222,687.84 and 90,712 is: 125,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,368 : 222,687.84 = 90,712 : x
  2. Step 2: Convert to fraction form
    161,368/222,687.84 = 90,712/x
  3. Step 3: Cross multiply
    161,368x = 222,687.84 × 90,712
  4. Step 4: Simplify right side
    161,368x = 20,200,459,342.08
  5. Step 5: Solve for x
    x = 20,200,459,342.08/161,368
  6. Step 6: Final answer
    x = 125,182.56

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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.