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Finding the Fourth Proportional to 142,707.62, 214,061.94 and 47,935.09

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Solution

The fourth proportional to 142,707.62, 214,061.94 and 47,935.09 is: 71,902.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,707.62 : 214,061.94 = 47,935.09 : x
  2. Step 2: Convert to fraction form
    142,707.62/214,061.94 = 47,935.09/x
  3. Step 3: Cross multiply
    142,707.62x = 214,061.94 × 47,935.09
  4. Step 4: Simplify right side
    142,707.62x = 10,261,078,627.05
  5. Step 5: Solve for x
    x = 10,261,078,627.05/142,707.62
  6. Step 6: Final answer
    x = 71,902.81

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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.