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Finding the Fourth Proportional to 66,898, 100,353.72 and 17,650

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Solution

The fourth proportional to 66,898, 100,353.72 and 17,650 is: 26,476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,898 : 100,353.72 = 17,650 : x
  2. Step 2: Convert to fraction form
    66,898/100,353.72 = 17,650/x
  3. Step 3: Cross multiply
    66,898x = 100,353.72 × 17,650
  4. Step 4: Simplify right side
    66,898x = 1,771,243,158
  5. Step 5: Solve for x
    x = 1,771,243,158/66,898
  6. Step 6: Final answer
    x = 26,476.77

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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.