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Finding the Fourth Proportional to 70,765.17, 106,130.73 and 20,831.70

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Solution

The fourth proportional to 70,765.17, 106,130.73 and 20,831.70 is: 31,242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,765.17 : 106,130.73 = 20,831.70 : x
  2. Step 2: Convert to fraction form
    70,765.17/106,130.73 = 20,831.70/x
  3. Step 3: Cross multiply
    70,765.17x = 106,130.73 × 20,831.70
  4. Step 4: Simplify right side
    70,765.17x = 2,210,883,528.14
  5. Step 5: Solve for x
    x = 2,210,883,528.14/70,765.17
  6. Step 6: Final answer
    x = 31,242.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.