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Finding the Fourth Proportional to 52,742.72, 79,481 and 47,746.64

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Solution

The fourth proportional to 52,742.72, 79,481 and 47,746.64 is: 71,952.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,742.72 : 79,481 = 47,746.64 : x
  2. Step 2: Convert to fraction form
    52,742.72/79,481 = 47,746.64/x
  3. Step 3: Cross multiply
    52,742.72x = 79,481 × 47,746.64
  4. Step 4: Simplify right side
    52,742.72x = 3,794,950,693.84
  5. Step 5: Solve for x
    x = 3,794,950,693.84/52,742.72
  6. Step 6: Final answer
    x = 71,952.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.