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Finding the Fourth Proportional to 119,212.80, 178,840.80 and 59,899.20

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Solution

The fourth proportional to 119,212.80, 178,840.80 and 59,899.20 is: 89,859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,212.80 : 178,840.80 = 59,899.20 : x
  2. Step 2: Convert to fraction form
    119,212.80/178,840.80 = 59,899.20/x
  3. Step 3: Cross multiply
    119,212.80x = 178,840.80 × 59,899.20
  4. Step 4: Simplify right side
    119,212.80x = 10,712,420,847.36
  5. Step 5: Solve for x
    x = 10,712,420,847.36/119,212.80
  6. Step 6: Final answer
    x = 89,859.65

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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.