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Finding the Fourth Proportional to 209,511.83, 289,132.88 and 118,871.62

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Solution

The fourth proportional to 209,511.83, 289,132.88 and 118,871.62 is: 164,046.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,511.83 : 289,132.88 = 118,871.62 : x
  2. Step 2: Convert to fraction form
    209,511.83/289,132.88 = 118,871.62/x
  3. Step 3: Cross multiply
    209,511.83x = 289,132.88 × 118,871.62
  4. Step 4: Simplify right side
    209,511.83x = 34,369,692,523.68
  5. Step 5: Solve for x
    x = 34,369,692,523.68/209,511.83
  6. Step 6: Final answer
    x = 164,046.55

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1.5x scale

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.