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Finding the Fourth Proportional to 209,880, 289,630.80 and 114,387.84

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Solution

The fourth proportional to 209,880, 289,630.80 and 114,387.84 is: 157,853.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,880 : 289,630.80 = 114,387.84 : x
  2. Step 2: Convert to fraction form
    209,880/289,630.80 = 114,387.84/x
  3. Step 3: Cross multiply
    209,880x = 289,630.80 × 114,387.84
  4. Step 4: Simplify right side
    209,880x = 33,130,241,609.47
  5. Step 5: Solve for x
    x = 33,130,241,609.47/209,880
  6. Step 6: Final answer
    x = 157,853.26

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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.