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Finding the Fourth Proportional to 56,506.71, 84,757.29 and 20,974.95

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Solution

The fourth proportional to 56,506.71, 84,757.29 and 20,974.95 is: 31,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,506.71 : 84,757.29 = 20,974.95 : x
  2. Step 2: Convert to fraction form
    56,506.71/84,757.29 = 20,974.95/x
  3. Step 3: Cross multiply
    56,506.71x = 84,757.29 × 20,974.95
  4. Step 4: Simplify right side
    56,506.71x = 1,777,779,841.23
  5. Step 5: Solve for x
    x = 1,777,779,841.23/56,506.71
  6. Step 6: Final answer
    x = 31,461.39

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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.