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Finding the Fourth Proportional to 142,705.10, 214,057.65 and 133,957.10

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Solution

The fourth proportional to 142,705.10, 214,057.65 and 133,957.10 is: 200,935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,705.10 : 214,057.65 = 133,957.10 : x
  2. Step 2: Convert to fraction form
    142,705.10/214,057.65 = 133,957.10/x
  3. Step 3: Cross multiply
    142,705.10x = 214,057.65 × 133,957.10
  4. Step 4: Simplify right side
    142,705.10x = 28,674,542,026.82
  5. Step 5: Solve for x
    x = 28,674,542,026.82/142,705.10
  6. Step 6: Final answer
    x = 200,935.65

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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.