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Finding the Fourth Proportional to 56,493.48, 84,713.28 and 20,930.40

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Solution

The fourth proportional to 56,493.48, 84,713.28 and 20,930.40 is: 31,385.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,493.48 : 84,713.28 = 20,930.40 : x
  2. Step 2: Convert to fraction form
    56,493.48/84,713.28 = 20,930.40/x
  3. Step 3: Cross multiply
    56,493.48x = 84,713.28 × 20,930.40
  4. Step 4: Simplify right side
    56,493.48x = 1,773,082,835.71
  5. Step 5: Solve for x
    x = 1,773,082,835.71/56,493.48
  6. Step 6: Final answer
    x = 31,385.62

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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.