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Finding the Fourth Proportional to 56,442, 77,892.66 and 31,291.50

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Solution

The fourth proportional to 56,442, 77,892.66 and 31,291.50 is: 43,183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,442 : 77,892.66 = 31,291.50 : x
  2. Step 2: Convert to fraction form
    56,442/77,892.66 = 31,291.50/x
  3. Step 3: Cross multiply
    56,442x = 77,892.66 × 31,291.50
  4. Step 4: Simplify right side
    56,442x = 2,437,378,170.39
  5. Step 5: Solve for x
    x = 2,437,378,170.39/56,442
  6. Step 6: Final answer
    x = 43,183.77

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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.