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Finding the Fourth Proportional to 144,715.10, 217,072.65 and 65,983.10

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Solution

The fourth proportional to 144,715.10, 217,072.65 and 65,983.10 is: 98,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,715.10 : 217,072.65 = 65,983.10 : x
  2. Step 2: Convert to fraction form
    144,715.10/217,072.65 = 65,983.10/x
  3. Step 3: Cross multiply
    144,715.10x = 217,072.65 × 65,983.10
  4. Step 4: Simplify right side
    144,715.10x = 14,323,126,372.22
  5. Step 5: Solve for x
    x = 14,323,126,372.22/144,715.10
  6. Step 6: Final answer
    x = 98,974.65

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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.