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Finding the Fourth Proportional to 51,387.86, 70,913.94 and 31,245.32

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Solution

The fourth proportional to 51,387.86, 70,913.94 and 31,245.32 is: 43,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,387.86 : 70,913.94 = 31,245.32 : x
  2. Step 2: Convert to fraction form
    51,387.86/70,913.94 = 31,245.32/x
  3. Step 3: Cross multiply
    51,387.86x = 70,913.94 × 31,245.32
  4. Step 4: Simplify right side
    51,387.86x = 2,215,728,747.76
  5. Step 5: Solve for x
    x = 2,215,728,747.76/51,387.86
  6. Step 6: Final answer
    x = 43,117.75

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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.