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Finding the Fourth Proportional to 242,960.70, 364,441.05 and 85,205.10

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Solution

The fourth proportional to 242,960.70, 364,441.05 and 85,205.10 is: 127,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,960.70 : 364,441.05 = 85,205.10 : x
  2. Step 2: Convert to fraction form
    242,960.70/364,441.05 = 85,205.10/x
  3. Step 3: Cross multiply
    242,960.70x = 364,441.05 × 85,205.10
  4. Step 4: Simplify right side
    242,960.70x = 31,052,236,109.36
  5. Step 5: Solve for x
    x = 31,052,236,109.36/242,960.70
  6. Step 6: Final answer
    x = 127,807.65

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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.