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Finding the Fourth Proportional to 56,305, 77,701.62 and 31,153.96

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Solution

The fourth proportional to 56,305, 77,701.62 and 31,153.96 is: 42,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,305 : 77,701.62 = 31,153.96 : x
  2. Step 2: Convert to fraction form
    56,305/77,701.62 = 31,153.96/x
  3. Step 3: Cross multiply
    56,305x = 77,701.62 × 31,153.96
  4. Step 4: Simplify right side
    56,305x = 2,420,713,161.42
  5. Step 5: Solve for x
    x = 2,420,713,161.42/56,305
  6. Step 6: Final answer
    x = 42,992.86

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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.