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Finding the Fourth Proportional to 142,983.68, 214,336.06 and 68,083.70

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Solution

The fourth proportional to 142,983.68, 214,336.06 and 68,083.70 is: 102,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,983.68 : 214,336.06 = 68,083.70 : x
  2. Step 2: Convert to fraction form
    142,983.68/214,336.06 = 68,083.70/x
  3. Step 3: Cross multiply
    142,983.68x = 214,336.06 × 68,083.70
  4. Step 4: Simplify right side
    142,983.68x = 14,592,792,008.22
  5. Step 5: Solve for x
    x = 14,592,792,008.22/142,983.68
  6. Step 6: Final answer
    x = 102,059.14

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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.