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Finding the Fourth Proportional to 102,443.12, 141,340.12 and 59,413.90

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Solution

The fourth proportional to 102,443.12, 141,340.12 and 59,413.90 is: 81,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,443.12 : 141,340.12 = 59,413.90 : x
  2. Step 2: Convert to fraction form
    102,443.12/141,340.12 = 59,413.90/x
  3. Step 3: Cross multiply
    102,443.12x = 141,340.12 × 59,413.90
  4. Step 4: Simplify right side
    102,443.12x = 8,397,567,755.67
  5. Step 5: Solve for x
    x = 8,397,567,755.67/102,443.12
  6. Step 6: Final answer
    x = 81,972.98

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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.