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Finding the Fourth Proportional to 203,500.97, 280,831.34 and 112,870.81

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Solution

The fourth proportional to 203,500.97, 280,831.34 and 112,870.81 is: 155,761.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,500.97 : 280,831.34 = 112,870.81 : x
  2. Step 2: Convert to fraction form
    203,500.97/280,831.34 = 112,870.81/x
  3. Step 3: Cross multiply
    203,500.97x = 280,831.34 × 112,870.81
  4. Step 4: Simplify right side
    203,500.97x = 31,697,660,817.50
  5. Step 5: Solve for x
    x = 31,697,660,817.50/203,500.97
  6. Step 6: Final answer
    x = 155,761.72

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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.