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Finding the Fourth Proportional to 145,893.57, 218,863.67 and 61,654.53

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Solution

The fourth proportional to 145,893.57, 218,863.67 and 61,654.53 is: 92,491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,893.57 : 218,863.67 = 61,654.53 : x
  2. Step 2: Convert to fraction form
    145,893.57/218,863.67 = 61,654.53/x
  3. Step 3: Cross multiply
    145,893.57x = 218,863.67 × 61,654.53
  4. Step 4: Simplify right side
    145,893.57x = 13,493,936,399.65
  5. Step 5: Solve for x
    x = 13,493,936,399.65/145,893.57
  6. Step 6: Final answer
    x = 92,491.65

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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.