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Finding the Fourth Proportional to 282,716.72, 424,090.97 and 90,607.86

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Solution

The fourth proportional to 282,716.72, 424,090.97 and 90,607.86 is: 135,916.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,716.72 : 424,090.97 = 90,607.86 : x
  2. Step 2: Convert to fraction form
    282,716.72/424,090.97 = 90,607.86/x
  3. Step 3: Cross multiply
    282,716.72x = 424,090.97 × 90,607.86
  4. Step 4: Simplify right side
    282,716.72x = 38,425,974,783.98
  5. Step 5: Solve for x
    x = 38,425,974,783.98/282,716.72
  6. Step 6: Final answer
    x = 135,916.88

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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.