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Finding the Fourth Proportional to 142,057.92, 213,121.58 and 47,287.92

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Solution

The fourth proportional to 142,057.92, 213,121.58 and 47,287.92 is: 70,943.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,057.92 : 213,121.58 = 47,287.92 : x
  2. Step 2: Convert to fraction form
    142,057.92/213,121.58 = 47,287.92/x
  3. Step 3: Cross multiply
    142,057.92x = 213,121.58 × 47,287.92
  4. Step 4: Simplify right side
    142,057.92x = 10,078,076,225.31
  5. Step 5: Solve for x
    x = 10,078,076,225.31/142,057.92
  6. Step 6: Final answer
    x = 70,943.43

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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.