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Finding the Fourth Proportional to 221,702.18, 305,948.98 and 119,727.64

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Solution

The fourth proportional to 221,702.18, 305,948.98 and 119,727.64 is: 165,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,702.18 : 305,948.98 = 119,727.64 : x
  2. Step 2: Convert to fraction form
    221,702.18/305,948.98 = 119,727.64/x
  3. Step 3: Cross multiply
    221,702.18x = 305,948.98 × 119,727.64
  4. Step 4: Simplify right side
    221,702.18x = 36,630,548,271.62
  5. Step 5: Solve for x
    x = 36,630,548,271.62/221,702.18
  6. Step 6: Final answer
    x = 165,224.13

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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.