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Finding the Fourth Proportional to 209,772.80, 289,468.80 and 119,110.40

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Solution

The fourth proportional to 209,772.80, 289,468.80 and 119,110.40 is: 164,362.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,772.80 : 289,468.80 = 119,110.40 : x
  2. Step 2: Convert to fraction form
    209,772.80/289,468.80 = 119,110.40/x
  3. Step 3: Cross multiply
    209,772.80x = 289,468.80 × 119,110.40
  4. Step 4: Simplify right side
    209,772.80x = 34,478,744,555.52
  5. Step 5: Solve for x
    x = 34,478,744,555.52/209,772.80
  6. Step 6: Final answer
    x = 164,362.32

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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.