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Finding the Fourth Proportional to 142,745.07, 214,121.07 and 47,976.63

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Solution

The fourth proportional to 142,745.07, 214,121.07 and 47,976.63 is: 71,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,745.07 : 214,121.07 = 47,976.63 : x
  2. Step 2: Convert to fraction form
    142,745.07/214,121.07 = 47,976.63/x
  3. Step 3: Cross multiply
    142,745.07x = 214,121.07 × 47,976.63
  4. Step 4: Simplify right side
    142,745.07x = 10,272,807,350.59
  5. Step 5: Solve for x
    x = 10,272,807,350.59/142,745.07
  6. Step 6: Final answer
    x = 71,966.11

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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.