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Finding the Fourth Proportional to 70,289.36, 105,174.36 and 42,226.40

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Solution

The fourth proportional to 70,289.36, 105,174.36 and 42,226.40 is: 63,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,289.36 : 105,174.36 = 42,226.40 : x
  2. Step 2: Convert to fraction form
    70,289.36/105,174.36 = 42,226.40/x
  3. Step 3: Cross multiply
    70,289.36x = 105,174.36 × 42,226.40
  4. Step 4: Simplify right side
    70,289.36x = 4,441,134,595.10
  5. Step 5: Solve for x
    x = 4,441,134,595.10/70,289.36
  6. Step 6: Final answer
    x = 63,183.60

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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.