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Finding the Fourth Proportional to 209,160.81, 288,687.60 and 137,547.54

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Solution

The fourth proportional to 209,160.81, 288,687.60 and 137,547.54 is: 189,845.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,160.81 : 288,687.60 = 137,547.54 : x
  2. Step 2: Convert to fraction form
    209,160.81/288,687.60 = 137,547.54/x
  3. Step 3: Cross multiply
    209,160.81x = 288,687.60 × 137,547.54
  4. Step 4: Simplify right side
    209,160.81x = 39,708,269,208.50
  5. Step 5: Solve for x
    x = 39,708,269,208.50/209,160.81
  6. Step 6: Final answer
    x = 189,845.65

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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.