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Finding the Fourth Proportional to 209,242.90, 288,751.80 and 113,752

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Solution

The fourth proportional to 209,242.90, 288,751.80 and 113,752 is: 156,975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,242.90 : 288,751.80 = 113,752 : x
  2. Step 2: Convert to fraction form
    209,242.90/288,751.80 = 113,752/x
  3. Step 3: Cross multiply
    209,242.90x = 288,751.80 × 113,752
  4. Step 4: Simplify right side
    209,242.90x = 32,846,094,753.60
  5. Step 5: Solve for x
    x = 32,846,094,753.60/209,242.90
  6. Step 6: Final answer
    x = 156,975.91

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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.