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Finding the Fourth Proportional to 118,293.54, 177,239.82 and 71,448

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Solution

The fourth proportional to 118,293.54, 177,239.82 and 71,448 is: 107,050.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,293.54 : 177,239.82 = 71,448 : x
  2. Step 2: Convert to fraction form
    118,293.54/177,239.82 = 71,448/x
  3. Step 3: Cross multiply
    118,293.54x = 177,239.82 × 71,448
  4. Step 4: Simplify right side
    118,293.54x = 12,663,430,659.36
  5. Step 5: Solve for x
    x = 12,663,430,659.36/118,293.54
  6. Step 6: Final answer
    x = 107,050.91

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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.