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Finding the Fourth Proportional to 78,143.56, 107,844.78 and 44,158.30

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Solution

The fourth proportional to 78,143.56, 107,844.78 and 44,158.30 is: 60,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,143.56 : 107,844.78 = 44,158.30 : x
  2. Step 2: Convert to fraction form
    78,143.56/107,844.78 = 44,158.30/x
  3. Step 3: Cross multiply
    78,143.56x = 107,844.78 × 44,158.30
  4. Step 4: Simplify right side
    78,143.56x = 4,762,242,148.67
  5. Step 5: Solve for x
    x = 4,762,242,148.67/78,143.56
  6. Step 6: Final answer
    x = 60,942.22

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1.5x scale

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.