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Finding the Fourth Proportional to 143,000.46, 214,543.74 and 128,894.31

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Solution

The fourth proportional to 143,000.46, 214,543.74 and 128,894.31 is: 193,380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,000.46 : 214,543.74 = 128,894.31 : x
  2. Step 2: Convert to fraction form
    143,000.46/214,543.74 = 128,894.31/x
  3. Step 3: Cross multiply
    143,000.46x = 214,543.74 × 128,894.31
  4. Step 4: Simplify right side
    143,000.46x = 27,653,467,332.12
  5. Step 5: Solve for x
    x = 27,653,467,332.12/143,000.46
  6. Step 6: Final answer
    x = 193,380.27

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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.