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Finding the Fourth Proportional to 101,738.46, 140,413.47 and 56,426.46

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Solution

The fourth proportional to 101,738.46, 140,413.47 and 56,426.46 is: 77,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,738.46 : 140,413.47 = 56,426.46 : x
  2. Step 2: Convert to fraction form
    101,738.46/140,413.47 = 56,426.46/x
  3. Step 3: Cross multiply
    101,738.46x = 140,413.47 × 56,426.46
  4. Step 4: Simplify right side
    101,738.46x = 7,923,035,048.42
  5. Step 5: Solve for x
    x = 7,923,035,048.42/101,738.46
  6. Step 6: Final answer
    x = 77,876.50

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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.