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Finding the Fourth Proportional to 217,483.94, 300,127.22 and 120,702.42

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Solution

The fourth proportional to 217,483.94, 300,127.22 and 120,702.42 is: 166,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,483.94 : 300,127.22 = 120,702.42 : x
  2. Step 2: Convert to fraction form
    217,483.94/300,127.22 = 120,702.42/x
  3. Step 3: Cross multiply
    217,483.94x = 300,127.22 × 120,702.42
  4. Step 4: Simplify right side
    217,483.94x = 36,226,079,657.72
  5. Step 5: Solve for x
    x = 36,226,079,657.72/217,483.94
  6. Step 6: Final answer
    x = 166,568.99

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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.