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Finding the Fourth Proportional to 101,755.85, 140,413.67 and 56,433.00

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Solution

The fourth proportional to 101,755.85, 140,413.67 and 56,433.00 is: 77,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,755.85 : 140,413.67 = 56,433.00 : x
  2. Step 2: Convert to fraction form
    101,755.85/140,413.67 = 56,433.00/x
  3. Step 3: Cross multiply
    101,755.85x = 140,413.67 × 56,433.00
  4. Step 4: Simplify right side
    101,755.85x = 7,923,963,654.88
  5. Step 5: Solve for x
    x = 7,923,963,654.88/101,755.85
  6. Step 6: Final answer
    x = 77,872.32

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1.5x scale

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.