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Finding the Fourth Proportional to 56,401.96, 77,834.40 and 31,251.40

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Solution

The fourth proportional to 56,401.96, 77,834.40 and 31,251.40 is: 43,126.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,401.96 : 77,834.40 = 31,251.40 : x
  2. Step 2: Convert to fraction form
    56,401.96/77,834.40 = 31,251.40/x
  3. Step 3: Cross multiply
    56,401.96x = 77,834.40 × 31,251.40
  4. Step 4: Simplify right side
    56,401.96x = 2,432,433,968.16
  5. Step 5: Solve for x
    x = 2,432,433,968.16/56,401.96
  6. Step 6: Final answer
    x = 43,126.76

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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.