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Finding the Fourth Proportional to 142,397.69, 213,628.93 and 75,802.73

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Solution

The fourth proportional to 142,397.69, 213,628.93 and 75,802.73 is: 113,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,397.69 : 213,628.93 = 75,802.73 : x
  2. Step 2: Convert to fraction form
    142,397.69/213,628.93 = 75,802.73/x
  3. Step 3: Cross multiply
    142,397.69x = 213,628.93 × 75,802.73
  4. Step 4: Simplify right side
    142,397.69x = 16,193,654,843.33
  5. Step 5: Solve for x
    x = 16,193,654,843.33/142,397.69
  6. Step 6: Final answer
    x = 113,721.34

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1.5x scale

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.