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Finding the Fourth Proportional to 209,369.55, 288,933.66 and 113,876.91

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Solution

The fourth proportional to 209,369.55, 288,933.66 and 113,876.91 is: 157,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,369.55 : 288,933.66 = 113,876.91 : x
  2. Step 2: Convert to fraction form
    209,369.55/288,933.66 = 113,876.91/x
  3. Step 3: Cross multiply
    209,369.55x = 288,933.66 × 113,876.91
  4. Step 4: Simplify right side
    209,369.55x = 32,902,872,395.79
  5. Step 5: Solve for x
    x = 32,902,872,395.79/209,369.55
  6. Step 6: Final answer
    x = 157,152.14

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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.