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Finding the Fourth Proportional to 74,203.38, 102,413.82 and 56,268.15

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Solution

The fourth proportional to 74,203.38, 102,413.82 and 56,268.15 is: 77,660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,203.38 : 102,413.82 = 56,268.15 : x
  2. Step 2: Convert to fraction form
    74,203.38/102,413.82 = 56,268.15/x
  3. Step 3: Cross multiply
    74,203.38x = 102,413.82 × 56,268.15
  4. Step 4: Simplify right side
    74,203.38x = 5,762,636,185.83
  5. Step 5: Solve for x
    x = 5,762,636,185.83/74,203.38
  6. Step 6: Final answer
    x = 77,660.02

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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.