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Finding the Fourth Proportional to 142,707.87, 214,045.38 and 47,934.21

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Solution

The fourth proportional to 142,707.87, 214,045.38 and 47,934.21 is: 71,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,707.87 : 214,045.38 = 47,934.21 : x
  2. Step 2: Convert to fraction form
    142,707.87/214,045.38 = 47,934.21/x
  3. Step 3: Cross multiply
    142,707.87x = 214,045.38 × 47,934.21
  4. Step 4: Simplify right side
    142,707.87x = 10,260,096,194.45
  5. Step 5: Solve for x
    x = 10,260,096,194.45/142,707.87
  6. Step 6: Final answer
    x = 71,895.80

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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.