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Finding the Fourth Proportional to 51,164.80, 70,609.62 and 28,503.82

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Solution

The fourth proportional to 51,164.80, 70,609.62 and 28,503.82 is: 39,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,164.80 : 70,609.62 = 28,503.82 : x
  2. Step 2: Convert to fraction form
    51,164.80/70,609.62 = 28,503.82/x
  3. Step 3: Cross multiply
    51,164.80x = 70,609.62 × 28,503.82
  4. Step 4: Simplify right side
    51,164.80x = 2,012,643,898.75
  5. Step 5: Solve for x
    x = 2,012,643,898.75/51,164.80
  6. Step 6: Final answer
    x = 39,336.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.