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Finding the Fourth Proportional to 209,602, 289,250.28 and 114,109.36

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Solution

The fourth proportional to 209,602, 289,250.28 and 114,109.36 is: 157,470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,602 : 289,250.28 = 114,109.36 : x
  2. Step 2: Convert to fraction form
    209,602/289,250.28 = 114,109.36/x
  3. Step 3: Cross multiply
    209,602x = 289,250.28 × 114,109.36
  4. Step 4: Simplify right side
    209,602x = 33,006,164,330.62
  5. Step 5: Solve for x
    x = 33,006,164,330.62/209,602
  6. Step 6: Final answer
    x = 157,470.66

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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.