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Finding the Fourth Proportional to 209,978.80, 314,968.20 and 156,834.70

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Solution

The fourth proportional to 209,978.80, 314,968.20 and 156,834.70 is: 235,252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,978.80 : 314,968.20 = 156,834.70 : x
  2. Step 2: Convert to fraction form
    209,978.80/314,968.20 = 156,834.70/x
  3. Step 3: Cross multiply
    209,978.80x = 314,968.20 × 156,834.70
  4. Step 4: Simplify right side
    209,978.80x = 49,397,943,156.54
  5. Step 5: Solve for x
    x = 49,397,943,156.54/209,978.80
  6. Step 6: Final answer
    x = 235,252.05

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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.