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Finding the Fourth Proportional to 56,404.56, 77,838.36 and 31,254

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Solution

The fourth proportional to 56,404.56, 77,838.36 and 31,254 is: 43,130.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,404.56 : 77,838.36 = 31,254 : x
  2. Step 2: Convert to fraction form
    56,404.56/77,838.36 = 31,254/x
  3. Step 3: Cross multiply
    56,404.56x = 77,838.36 × 31,254
  4. Step 4: Simplify right side
    56,404.56x = 2,432,760,103.44
  5. Step 5: Solve for x
    x = 2,432,760,103.44/56,404.56
  6. Step 6: Final answer
    x = 43,130.56

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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.