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Finding the Fourth Proportional to 102,773.90, 154,048.25 and 52,856.64

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Solution

The fourth proportional to 102,773.90, 154,048.25 and 52,856.64 is: 79,227.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,773.90 : 154,048.25 = 52,856.64 : x
  2. Step 2: Convert to fraction form
    102,773.90/154,048.25 = 52,856.64/x
  3. Step 3: Cross multiply
    102,773.90x = 154,048.25 × 52,856.64
  4. Step 4: Simplify right side
    102,773.90x = 8,142,473,025.02
  5. Step 5: Solve for x
    x = 8,142,473,025.02/102,773.90
  6. Step 6: Final answer
    x = 79,227.05

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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.