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Finding the Fourth Proportional to 51,405.57, 70,935.80 and 31,259.66

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Solution

The fourth proportional to 51,405.57, 70,935.80 and 31,259.66 is: 43,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,405.57 : 70,935.80 = 31,259.66 : x
  2. Step 2: Convert to fraction form
    51,405.57/70,935.80 = 31,259.66/x
  3. Step 3: Cross multiply
    51,405.57x = 70,935.80 × 31,259.66
  4. Step 4: Simplify right side
    51,405.57x = 2,217,428,478.85
  5. Step 5: Solve for x
    x = 2,217,428,478.85/51,405.57
  6. Step 6: Final answer
    x = 43,135.96

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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.