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Finding the Fourth Proportional to 253,721.76, 350,146.80 and 140,544.48

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Solution

The fourth proportional to 253,721.76, 350,146.80 and 140,544.48 is: 193,957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,721.76 : 350,146.80 = 140,544.48 : x
  2. Step 2: Convert to fraction form
    253,721.76/350,146.80 = 140,544.48/x
  3. Step 3: Cross multiply
    253,721.76x = 350,146.80 × 140,544.48
  4. Step 4: Simplify right side
    253,721.76x = 49,211,199,929.66
  5. Step 5: Solve for x
    x = 49,211,199,929.66/253,721.76
  6. Step 6: Final answer
    x = 193,957.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.