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Finding the Fourth Proportional to 206,825.79, 310,168.86 and 78,711.67

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Solution

The fourth proportional to 206,825.79, 310,168.86 and 78,711.67 is: 118,040.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,825.79 : 310,168.86 = 78,711.67 : x
  2. Step 2: Convert to fraction form
    206,825.79/310,168.86 = 78,711.67/x
  3. Step 3: Cross multiply
    206,825.79x = 310,168.86 × 78,711.67
  4. Step 4: Simplify right side
    206,825.79x = 24,413,908,952.60
  5. Step 5: Solve for x
    x = 24,413,908,952.60/206,825.79
  6. Step 6: Final answer
    x = 118,040.93

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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.