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Finding the Fourth Proportional to 209,347.88, 288,896.88 and 113,852.38

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Solution

The fourth proportional to 209,347.88, 288,896.88 and 113,852.38 is: 157,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,347.88 : 288,896.88 = 113,852.38 : x
  2. Step 2: Convert to fraction form
    209,347.88/288,896.88 = 113,852.38/x
  3. Step 3: Cross multiply
    209,347.88x = 288,896.88 × 113,852.38
  4. Step 4: Simplify right side
    209,347.88x = 32,891,597,362.57
  5. Step 5: Solve for x
    x = 32,891,597,362.57/209,347.88
  6. Step 6: Final answer
    x = 157,114.55

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1.5x scale

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.