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Finding the Fourth Proportional to 102,140.93, 140,915.79 and 63,360.83

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Solution

The fourth proportional to 102,140.93, 140,915.79 and 63,360.83 is: 87,413.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,140.93 : 140,915.79 = 63,360.83 : x
  2. Step 2: Convert to fraction form
    102,140.93/140,915.79 = 63,360.83/x
  3. Step 3: Cross multiply
    102,140.93x = 140,915.79 × 63,360.83
  4. Step 4: Simplify right side
    102,140.93x = 8,928,541,414.51
  5. Step 5: Solve for x
    x = 8,928,541,414.51/102,140.93
  6. Step 6: Final answer
    x = 87,413.94

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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.