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Finding the Fourth Proportional to 71,186.10, 106,748.16 and 37,898.74

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Solution

The fourth proportional to 71,186.10, 106,748.16 and 37,898.74 is: 56,831.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,186.10 : 106,748.16 = 37,898.74 : x
  2. Step 2: Convert to fraction form
    71,186.10/106,748.16 = 37,898.74/x
  3. Step 3: Cross multiply
    71,186.10x = 106,748.16 × 37,898.74
  4. Step 4: Simplify right side
    71,186.10x = 4,045,620,761.32
  5. Step 5: Solve for x
    x = 4,045,620,761.32/71,186.10
  6. Step 6: Final answer
    x = 56,831.61

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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.