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Finding the Fourth Proportional to 140,477.55, 193,856.07 and 76,815.30

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Solution

The fourth proportional to 140,477.55, 193,856.07 and 76,815.30 is: 106,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,477.55 : 193,856.07 = 76,815.30 : x
  2. Step 2: Convert to fraction form
    140,477.55/193,856.07 = 76,815.30/x
  3. Step 3: Cross multiply
    140,477.55x = 193,856.07 × 76,815.30
  4. Step 4: Simplify right side
    140,477.55x = 14,891,112,173.87
  5. Step 5: Solve for x
    x = 14,891,112,173.87/140,477.55
  6. Step 6: Final answer
    x = 106,003.50

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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.