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Finding the Fourth Proportional to 221,472.64, 305,630.44 and 120,870.64

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Solution

The fourth proportional to 221,472.64, 305,630.44 and 120,870.64 is: 166,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,472.64 : 305,630.44 = 120,870.64 : x
  2. Step 2: Convert to fraction form
    221,472.64/305,630.44 = 120,870.64/x
  3. Step 3: Cross multiply
    221,472.64x = 305,630.44 × 120,870.64
  4. Step 4: Simplify right side
    221,472.64x = 36,941,746,886.28
  5. Step 5: Solve for x
    x = 36,941,746,886.28/221,472.64
  6. Step 6: Final answer
    x = 166,800.50

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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.