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Finding the Fourth Proportional to 104,064.81, 156,034 and 40,809.15

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Solution

The fourth proportional to 104,064.81, 156,034 and 40,809.15 is: 61,188.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,064.81 : 156,034 = 40,809.15 : x
  2. Step 2: Convert to fraction form
    104,064.81/156,034 = 40,809.15/x
  3. Step 3: Cross multiply
    104,064.81x = 156,034 × 40,809.15
  4. Step 4: Simplify right side
    104,064.81x = 6,367,614,911.10
  5. Step 5: Solve for x
    x = 6,367,614,911.10/104,064.81
  6. Step 6: Final answer
    x = 61,188.94

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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.