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Finding the Fourth Proportional to 161,518, 242,286.72 and 50,710

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Solution

The fourth proportional to 161,518, 242,286.72 and 50,710 is: 76,068.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,518 : 242,286.72 = 50,710 : x
  2. Step 2: Convert to fraction form
    161,518/242,286.72 = 50,710/x
  3. Step 3: Cross multiply
    161,518x = 242,286.72 × 50,710
  4. Step 4: Simplify right side
    161,518x = 12,286,359,571.20
  5. Step 5: Solve for x
    x = 12,286,359,571.20/161,518
  6. Step 6: Final answer
    x = 76,068.05

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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.