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Finding the Fourth Proportional to 56,437.42, 84,581.85 and 31,489.21

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Solution

The fourth proportional to 56,437.42, 84,581.85 and 31,489.21 is: 47,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,437.42 : 84,581.85 = 31,489.21 : x
  2. Step 2: Convert to fraction form
    56,437.42/84,581.85 = 31,489.21/x
  3. Step 3: Cross multiply
    56,437.42x = 84,581.85 × 31,489.21
  4. Step 4: Simplify right side
    56,437.42x = 2,663,415,636.84
  5. Step 5: Solve for x
    x = 2,663,415,636.84/56,437.42
  6. Step 6: Final answer
    x = 47,192.37

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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.