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Finding the Fourth Proportional to 161,732, 223,194.48 and 90,115.04

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Solution

The fourth proportional to 161,732, 223,194.48 and 90,115.04 is: 124,361.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,732 : 223,194.48 = 90,115.04 : x
  2. Step 2: Convert to fraction form
    161,732/223,194.48 = 90,115.04/x
  3. Step 3: Cross multiply
    161,732x = 223,194.48 × 90,115.04
  4. Step 4: Simplify right side
    161,732x = 20,113,179,492.98
  5. Step 5: Solve for x
    x = 20,113,179,492.98/161,732
  6. Step 6: Final answer
    x = 124,361.16

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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.