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Finding the Fourth Proportional to 161,967.12, 242,866.44 and 73,178.16

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Solution

The fourth proportional to 161,967.12, 242,866.44 and 73,178.16 is: 109,729.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,967.12 : 242,866.44 = 73,178.16 : x
  2. Step 2: Convert to fraction form
    161,967.12/242,866.44 = 73,178.16/x
  3. Step 3: Cross multiply
    161,967.12x = 242,866.44 × 73,178.16
  4. Step 4: Simplify right side
    161,967.12x = 17,772,519,204.95
  5. Step 5: Solve for x
    x = 17,772,519,204.95/161,967.12
  6. Step 6: Final answer
    x = 109,729.18

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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.