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Finding the Fourth Proportional to 78,562.35, 117,612 and 51,859.08

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Solution

The fourth proportional to 78,562.35, 117,612 and 51,859.08 is: 77,635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,562.35 : 117,612 = 51,859.08 : x
  2. Step 2: Convert to fraction form
    78,562.35/117,612 = 51,859.08/x
  3. Step 3: Cross multiply
    78,562.35x = 117,612 × 51,859.08
  4. Step 4: Simplify right side
    78,562.35x = 6,099,250,116.96
  5. Step 5: Solve for x
    x = 6,099,250,116.96/78,562.35
  6. Step 6: Final answer
    x = 77,635.79

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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.