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Finding the Fourth Proportional to 56,410.56, 77,849.10 and 31,258.44

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Solution

The fourth proportional to 56,410.56, 77,849.10 and 31,258.44 is: 43,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,410.56 : 77,849.10 = 31,258.44 : x
  2. Step 2: Convert to fraction form
    56,410.56/77,849.10 = 31,258.44/x
  3. Step 3: Cross multiply
    56,410.56x = 77,849.10 × 31,258.44
  4. Step 4: Simplify right side
    56,410.56x = 2,433,441,421.40
  5. Step 5: Solve for x
    x = 2,433,441,421.40/56,410.56
  6. Step 6: Final answer
    x = 43,138.05

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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.