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Finding the Fourth Proportional to 70,986.40, 106,479.60 and 47,658.40

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Solution

The fourth proportional to 70,986.40, 106,479.60 and 47,658.40 is: 71,487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,986.40 : 106,479.60 = 47,658.40 : x
  2. Step 2: Convert to fraction form
    70,986.40/106,479.60 = 47,658.40/x
  3. Step 3: Cross multiply
    70,986.40x = 106,479.60 × 47,658.40
  4. Step 4: Simplify right side
    70,986.40x = 5,074,647,368.64
  5. Step 5: Solve for x
    x = 5,074,647,368.64/70,986.40
  6. Step 6: Final answer
    x = 71,487.60

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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.