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Finding the Fourth Proportional to 209,357.88, 288,801.72 and 145,584.96

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Solution

The fourth proportional to 209,357.88, 288,801.72 and 145,584.96 is: 200,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,357.88 : 288,801.72 = 145,584.96 : x
  2. Step 2: Convert to fraction form
    209,357.88/288,801.72 = 145,584.96/x
  3. Step 3: Cross multiply
    209,357.88x = 288,801.72 × 145,584.96
  4. Step 4: Simplify right side
    209,357.88x = 42,045,186,854.13
  5. Step 5: Solve for x
    x = 42,045,186,854.13/209,357.88
  6. Step 6: Final answer
    x = 200,829.25

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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.