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Finding the Fourth Proportional to 142,895.94, 214,344.01 and 36,287.89

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Solution

The fourth proportional to 142,895.94, 214,344.01 and 36,287.89 is: 54,431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,895.94 : 214,344.01 = 36,287.89 : x
  2. Step 2: Convert to fraction form
    142,895.94/214,344.01 = 36,287.89/x
  3. Step 3: Cross multiply
    142,895.94x = 214,344.01 × 36,287.89
  4. Step 4: Simplify right side
    142,895.94x = 7,778,091,857.04
  5. Step 5: Solve for x
    x = 7,778,091,857.04/142,895.94
  6. Step 6: Final answer
    x = 54,431.86

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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.