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Finding the Fourth Proportional to 31,137.80, 46,706.70 and 25,670.30

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Solution

The fourth proportional to 31,137.80, 46,706.70 and 25,670.30 is: 38,505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,137.80 : 46,706.70 = 25,670.30 : x
  2. Step 2: Convert to fraction form
    31,137.80/46,706.70 = 25,670.30/x
  3. Step 3: Cross multiply
    31,137.80x = 46,706.70 × 25,670.30
  4. Step 4: Simplify right side
    31,137.80x = 1,198,975,001.01
  5. Step 5: Solve for x
    x = 1,198,975,001.01/31,137.80
  6. Step 6: Final answer
    x = 38,505.45

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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.