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Finding the Fourth Proportional to 209,755.52, 289,437.68 and 119,110.80

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Solution

The fourth proportional to 209,755.52, 289,437.68 and 119,110.80 is: 164,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,755.52 : 289,437.68 = 119,110.80 : x
  2. Step 2: Convert to fraction form
    209,755.52/289,437.68 = 119,110.80/x
  3. Step 3: Cross multiply
    209,755.52x = 289,437.68 × 119,110.80
  4. Step 4: Simplify right side
    209,755.52x = 34,475,153,614.94
  5. Step 5: Solve for x
    x = 34,475,153,614.94/209,755.52
  6. Step 6: Final answer
    x = 164,358.74

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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.