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Finding the Fourth Proportional to 212,701.77, 318,944.14 and 70,496.42

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Solution

The fourth proportional to 212,701.77, 318,944.14 and 70,496.42 is: 105,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,701.77 : 318,944.14 = 70,496.42 : x
  2. Step 2: Convert to fraction form
    212,701.77/318,944.14 = 70,496.42/x
  3. Step 3: Cross multiply
    212,701.77x = 318,944.14 × 70,496.42
  4. Step 4: Simplify right side
    212,701.77x = 22,484,420,049.98
  5. Step 5: Solve for x
    x = 22,484,420,049.98/212,701.77
  6. Step 6: Final answer
    x = 105,708.66

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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.