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Finding the Fourth Proportional to 161,719.20, 242,624.16 and 161,719.20

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Solution

The fourth proportional to 161,719.20, 242,624.16 and 161,719.20 is: 242,624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,719.20 : 242,624.16 = 161,719.20 : x
  2. Step 2: Convert to fraction form
    161,719.20/242,624.16 = 161,719.20/x
  3. Step 3: Cross multiply
    161,719.20x = 242,624.16 × 161,719.20
  4. Step 4: Simplify right side
    161,719.20x = 39,236,985,055.87
  5. Step 5: Solve for x
    x = 39,236,985,055.87/161,719.20
  6. Step 6: Final answer
    x = 242,624.16

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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.