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Finding the Fourth Proportional to 118,142.40, 177,224.40 and 48,007.20

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Solution

The fourth proportional to 118,142.40, 177,224.40 and 48,007.20 is: 72,015.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,142.40 : 177,224.40 = 48,007.20 : x
  2. Step 2: Convert to fraction form
    118,142.40/177,224.40 = 48,007.20/x
  3. Step 3: Cross multiply
    118,142.40x = 177,224.40 × 48,007.20
  4. Step 4: Simplify right side
    118,142.40x = 8,508,047,215.68
  5. Step 5: Solve for x
    x = 8,508,047,215.68/118,142.40
  6. Step 6: Final answer
    x = 72,015.19

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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.