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Finding the Fourth Proportional to 143,413.72, 215,115.72 and 54,664

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Solution

The fourth proportional to 143,413.72, 215,115.72 and 54,664 is: 81,994.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,413.72 : 215,115.72 = 54,664 : x
  2. Step 2: Convert to fraction form
    143,413.72/215,115.72 = 54,664/x
  3. Step 3: Cross multiply
    143,413.72x = 215,115.72 × 54,664
  4. Step 4: Simplify right side
    143,413.72x = 11,759,085,718.08
  5. Step 5: Solve for x
    x = 11,759,085,718.08/143,413.72
  6. Step 6: Final answer
    x = 81,994.15

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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.