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Finding the Fourth Proportional to 159,220.25, 219,630.65 and 101,838.64

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Solution

The fourth proportional to 159,220.25, 219,630.65 and 101,838.64 is: 140,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,220.25 : 219,630.65 = 101,838.64 : x
  2. Step 2: Convert to fraction form
    159,220.25/219,630.65 = 101,838.64/x
  3. Step 3: Cross multiply
    159,220.25x = 219,630.65 × 101,838.64
  4. Step 4: Simplify right side
    159,220.25x = 22,366,885,640.05
  5. Step 5: Solve for x
    x = 22,366,885,640.05/159,220.25
  6. Step 6: Final answer
    x = 140,477.64

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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.