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Finding the Fourth Proportional to 243,413.14, 365,154.26 and 74,947.47

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Solution

The fourth proportional to 243,413.14, 365,154.26 and 74,947.47 is: 112,431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,413.14 : 365,154.26 = 74,947.47 : x
  2. Step 2: Convert to fraction form
    243,413.14/365,154.26 = 74,947.47/x
  3. Step 3: Cross multiply
    243,413.14x = 365,154.26 × 74,947.47
  4. Step 4: Simplify right side
    243,413.14x = 27,367,387,946.72
  5. Step 5: Solve for x
    x = 27,367,387,946.72/243,413.14
  6. Step 6: Final answer
    x = 112,431.84

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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.