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Finding the Fourth Proportional to 61,812.80, 92,735.84 and 31,810.69

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Solution

The fourth proportional to 61,812.80, 92,735.84 and 31,810.69 is: 47,724.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,812.80 : 92,735.84 = 31,810.69 : x
  2. Step 2: Convert to fraction form
    61,812.80/92,735.84 = 31,810.69/x
  3. Step 3: Cross multiply
    61,812.80x = 92,735.84 × 31,810.69
  4. Step 4: Simplify right side
    61,812.80x = 2,949,990,942.21
  5. Step 5: Solve for x
    x = 2,949,990,942.21/61,812.80
  6. Step 6: Final answer
    x = 47,724.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.