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Finding the Fourth Proportional to 51,689.32, 71,109.79 and 49,474.98

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Solution

The fourth proportional to 51,689.32, 71,109.79 and 49,474.98 is: 68,063.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,689.32 : 71,109.79 = 49,474.98 : x
  2. Step 2: Convert to fraction form
    51,689.32/71,109.79 = 49,474.98/x
  3. Step 3: Cross multiply
    51,689.32x = 71,109.79 × 49,474.98
  4. Step 4: Simplify right side
    51,689.32x = 3,518,155,314.37
  5. Step 5: Solve for x
    x = 3,518,155,314.37/51,689.32
  6. Step 6: Final answer
    x = 68,063.49

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1.5x scale

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.