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Finding the Fourth Proportional to 102,125.76, 140,932.80 and 57,413.76

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Solution

The fourth proportional to 102,125.76, 140,932.80 and 57,413.76 is: 79,230.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,125.76 : 140,932.80 = 57,413.76 : x
  2. Step 2: Convert to fraction form
    102,125.76/140,932.80 = 57,413.76/x
  3. Step 3: Cross multiply
    102,125.76x = 140,932.80 × 57,413.76
  4. Step 4: Simplify right side
    102,125.76x = 8,091,481,955.33
  5. Step 5: Solve for x
    x = 8,091,481,955.33/102,125.76
  6. Step 6: Final answer
    x = 79,230.57

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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.