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Finding the Fourth Proportional to 119,125.32, 164,401.32 and 78,768.96

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Solution

The fourth proportional to 119,125.32, 164,401.32 and 78,768.96 is: 108,706.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,125.32 : 164,401.32 = 78,768.96 : x
  2. Step 2: Convert to fraction form
    119,125.32/164,401.32 = 78,768.96/x
  3. Step 3: Cross multiply
    119,125.32x = 164,401.32 × 78,768.96
  4. Step 4: Simplify right side
    119,125.32x = 12,949,720,999.03
  5. Step 5: Solve for x
    x = 12,949,720,999.03/119,125.32
  6. Step 6: Final answer
    x = 108,706.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.