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Finding the Fourth Proportional to 142,703.17, 214,056.87 and 67,831.03

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Solution

The fourth proportional to 142,703.17, 214,056.87 and 67,831.03 is: 101,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,703.17 : 214,056.87 = 67,831.03 : x
  2. Step 2: Convert to fraction form
    142,703.17/214,056.87 = 67,831.03/x
  3. Step 3: Cross multiply
    142,703.17x = 214,056.87 × 67,831.03
  4. Step 4: Simplify right side
    142,703.17x = 14,519,697,970.68
  5. Step 5: Solve for x
    x = 14,519,697,970.68/142,703.17
  6. Step 6: Final answer
    x = 101,747.55

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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.