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Finding the Fourth Proportional to 146,756.10, 220,134.15 and 76,656.90

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Solution

The fourth proportional to 146,756.10, 220,134.15 and 76,656.90 is: 114,985.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,756.10 : 220,134.15 = 76,656.90 : x
  2. Step 2: Convert to fraction form
    146,756.10/220,134.15 = 76,656.90/x
  3. Step 3: Cross multiply
    146,756.10x = 220,134.15 × 76,656.90
  4. Step 4: Simplify right side
    146,756.10x = 16,874,801,523.14
  5. Step 5: Solve for x
    x = 16,874,801,523.14/146,756.10
  6. Step 6: Final answer
    x = 114,985.35

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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.