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Finding the Fourth Proportional to 203,488.95, 305,191.86 and 77,085.61

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Solution

The fourth proportional to 203,488.95, 305,191.86 and 77,085.61 is: 115,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,488.95 : 305,191.86 = 77,085.61 : x
  2. Step 2: Convert to fraction form
    203,488.95/305,191.86 = 77,085.61/x
  3. Step 3: Cross multiply
    203,488.95x = 305,191.86 × 77,085.61
  4. Step 4: Simplify right side
    203,488.95x = 23,525,900,787.55
  5. Step 5: Solve for x
    x = 23,525,900,787.55/203,488.95
  6. Step 6: Final answer
    x = 115,612.67

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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.