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Finding the Fourth Proportional to 209,504.62, 289,122.94 and 118,864.40

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Solution

The fourth proportional to 209,504.62, 289,122.94 and 118,864.40 is: 164,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,504.62 : 289,122.94 = 118,864.40 : x
  2. Step 2: Convert to fraction form
    209,504.62/289,122.94 = 118,864.40/x
  3. Step 3: Cross multiply
    209,504.62x = 289,122.94 × 118,864.40
  4. Step 4: Simplify right side
    209,504.62x = 34,366,424,789.34
  5. Step 5: Solve for x
    x = 34,366,424,789.34/209,504.62
  6. Step 6: Final answer
    x = 164,036.60

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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.