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Finding the Fourth Proportional to 209,521, 289,138.98 and 120,148.84

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Solution

The fourth proportional to 209,521, 289,138.98 and 120,148.84 is: 165,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,521 : 289,138.98 = 120,148.84 : x
  2. Step 2: Convert to fraction form
    209,521/289,138.98 = 120,148.84/x
  3. Step 3: Cross multiply
    209,521x = 289,138.98 × 120,148.84
  4. Step 4: Simplify right side
    209,521x = 34,739,713,045.78
  5. Step 5: Solve for x
    x = 34,739,713,045.78/209,521
  6. Step 6: Final answer
    x = 165,805.40

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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.