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Finding the Fourth Proportional to 145,413.76, 200,665.72 and 81,757.52

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Solution

The fourth proportional to 145,413.76, 200,665.72 and 81,757.52 is: 112,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,413.76 : 200,665.72 = 81,757.52 : x
  2. Step 2: Convert to fraction form
    145,413.76/200,665.72 = 81,757.52/x
  3. Step 3: Cross multiply
    145,413.76x = 200,665.72 × 81,757.52
  4. Step 4: Simplify right side
    145,413.76x = 16,405,931,616.21
  5. Step 5: Solve for x
    x = 16,405,931,616.21/145,413.76
  6. Step 6: Final answer
    x = 112,822.42

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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.