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Finding the Fourth Proportional to 143,070.82, 214,623.51 and 37,891.78

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Solution

The fourth proportional to 143,070.82, 214,623.51 and 37,891.78 is: 56,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,070.82 : 214,623.51 = 37,891.78 : x
  2. Step 2: Convert to fraction form
    143,070.82/214,623.51 = 37,891.78/x
  3. Step 3: Cross multiply
    143,070.82x = 214,623.51 × 37,891.78
  4. Step 4: Simplify right side
    143,070.82x = 8,132,466,823.75
  5. Step 5: Solve for x
    x = 8,132,466,823.75/143,070.82
  6. Step 6: Final answer
    x = 56,842.25

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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.