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Finding the Fourth Proportional to 289,164.66, 399,059.70 and 160,103.13

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Solution

The fourth proportional to 289,164.66, 399,059.70 and 160,103.13 is: 220,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,164.66 : 399,059.70 = 160,103.13 : x
  2. Step 2: Convert to fraction form
    289,164.66/399,059.70 = 160,103.13/x
  3. Step 3: Cross multiply
    289,164.66x = 399,059.70 × 160,103.13
  4. Step 4: Simplify right side
    289,164.66x = 63,890,707,026.86
  5. Step 5: Solve for x
    x = 63,890,707,026.86/289,164.66
  6. Step 6: Final answer
    x = 220,949.22

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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.