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Finding the Fourth Proportional to 100,863.15, 151,251 and 34,285.41

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Solution

The fourth proportional to 100,863.15, 151,251 and 34,285.41 is: 51,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,863.15 : 151,251 = 34,285.41 : x
  2. Step 2: Convert to fraction form
    100,863.15/151,251 = 34,285.41/x
  3. Step 3: Cross multiply
    100,863.15x = 151,251 × 34,285.41
  4. Step 4: Simplify right side
    100,863.15x = 5,185,702,547.91
  5. Step 5: Solve for x
    x = 5,185,702,547.91/100,863.15
  6. Step 6: Final answer
    x = 51,413.25

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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.