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Finding the Fourth Proportional to 70,294.28, 105,453.72 and 45,358.38

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Solution

The fourth proportional to 70,294.28, 105,453.72 and 45,358.38 is: 68,045.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,294.28 : 105,453.72 = 45,358.38 : x
  2. Step 2: Convert to fraction form
    70,294.28/105,453.72 = 45,358.38/x
  3. Step 3: Cross multiply
    70,294.28x = 105,453.72 × 45,358.38
  4. Step 4: Simplify right side
    70,294.28x = 4,783,210,031.74
  5. Step 5: Solve for x
    x = 4,783,210,031.74/70,294.28
  6. Step 6: Final answer
    x = 68,045.51

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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.