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Finding the Fourth Proportional to 209,711.80, 314,567.70 and 104,735.80

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Solution

The fourth proportional to 209,711.80, 314,567.70 and 104,735.80 is: 157,103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,711.80 : 314,567.70 = 104,735.80 : x
  2. Step 2: Convert to fraction form
    209,711.80/314,567.70 = 104,735.80/x
  3. Step 3: Cross multiply
    209,711.80x = 314,567.70 × 104,735.80
  4. Step 4: Simplify right side
    209,711.80x = 32,946,499,713.66
  5. Step 5: Solve for x
    x = 32,946,499,713.66/209,711.80
  6. Step 6: Final answer
    x = 157,103.70

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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.