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Finding the Fourth Proportional to 142,654.84, 213,938.34 and 53,950.12

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Solution

The fourth proportional to 142,654.84, 213,938.34 and 53,950.12 is: 80,908.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,654.84 : 213,938.34 = 53,950.12 : x
  2. Step 2: Convert to fraction form
    142,654.84/213,938.34 = 53,950.12/x
  3. Step 3: Cross multiply
    142,654.84x = 213,938.34 × 53,950.12
  4. Step 4: Simplify right side
    142,654.84x = 11,541,999,115.60
  5. Step 5: Solve for x
    x = 11,541,999,115.60/142,654.84
  6. Step 6: Final answer
    x = 80,908.57

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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.