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Finding the Fourth Proportional to 56,358.72, 77,777.28 and 31,212

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Solution

The fourth proportional to 56,358.72, 77,777.28 and 31,212 is: 43,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,358.72 : 77,777.28 = 31,212 : x
  2. Step 2: Convert to fraction form
    56,358.72/77,777.28 = 31,212/x
  3. Step 3: Cross multiply
    56,358.72x = 77,777.28 × 31,212
  4. Step 4: Simplify right side
    56,358.72x = 2,427,584,463.36
  5. Step 5: Solve for x
    x = 2,427,584,463.36/56,358.72
  6. Step 6: Final answer
    x = 43,073.80

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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.