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Finding the Fourth Proportional to 51,488.30, 71,059.84 and 31,356.98

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Solution

The fourth proportional to 51,488.30, 71,059.84 and 31,356.98 is: 43,276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,488.30 : 71,059.84 = 31,356.98 : x
  2. Step 2: Convert to fraction form
    51,488.30/71,059.84 = 31,356.98/x
  3. Step 3: Cross multiply
    51,488.30x = 71,059.84 × 31,356.98
  4. Step 4: Simplify right side
    51,488.30x = 2,228,221,981.68
  5. Step 5: Solve for x
    x = 2,228,221,981.68/51,488.30
  6. Step 6: Final answer
    x = 43,276.28

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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.