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Finding the Fourth Proportional to 51,784.59, 71,445.87 and 30,559.80

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Solution

The fourth proportional to 51,784.59, 71,445.87 and 30,559.80 is: 42,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,784.59 : 71,445.87 = 30,559.80 : x
  2. Step 2: Convert to fraction form
    51,784.59/71,445.87 = 30,559.80/x
  3. Step 3: Cross multiply
    51,784.59x = 71,445.87 × 30,559.80
  4. Step 4: Simplify right side
    51,784.59x = 2,183,371,498.03
  5. Step 5: Solve for x
    x = 2,183,371,498.03/51,784.59
  6. Step 6: Final answer
    x = 42,162.57

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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.