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Finding the Fourth Proportional to 102,423.87, 141,346.19 and 59,413.32

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Solution

The fourth proportional to 102,423.87, 141,346.19 and 59,413.32 is: 81,991.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,423.87 : 141,346.19 = 59,413.32 : x
  2. Step 2: Convert to fraction form
    102,423.87/141,346.19 = 59,413.32/x
  3. Step 3: Cross multiply
    102,423.87x = 141,346.19 × 59,413.32
  4. Step 4: Simplify right side
    102,423.87x = 8,397,846,565.78
  5. Step 5: Solve for x
    x = 8,397,846,565.78/102,423.87
  6. Step 6: Final answer
    x = 81,991.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.