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Finding the Fourth Proportional to 142,668.42, 214,005.06 and 53,963.70

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Solution

The fourth proportional to 142,668.42, 214,005.06 and 53,963.70 is: 80,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,668.42 : 214,005.06 = 53,963.70 : x
  2. Step 2: Convert to fraction form
    142,668.42/214,005.06 = 53,963.70/x
  3. Step 3: Cross multiply
    142,668.42x = 214,005.06 × 53,963.70
  4. Step 4: Simplify right side
    142,668.42x = 11,548,504,856.32
  5. Step 5: Solve for x
    x = 11,548,504,856.32/142,668.42
  6. Step 6: Final answer
    x = 80,946.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.