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Finding the Fourth Proportional to 70,613.88, 105,892.68 and 31,143

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Solution

The fourth proportional to 70,613.88, 105,892.68 and 31,143 is: 46,702.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,613.88 : 105,892.68 = 31,143 : x
  2. Step 2: Convert to fraction form
    70,613.88/105,892.68 = 31,143/x
  3. Step 3: Cross multiply
    70,613.88x = 105,892.68 × 31,143
  4. Step 4: Simplify right side
    70,613.88x = 3,297,815,733.24
  5. Step 5: Solve for x
    x = 3,297,815,733.24/70,613.88
  6. Step 6: Final answer
    x = 46,702.09

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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.