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Finding the Fourth Proportional to 100,353.57, 138,532.14 and 70,257.03

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Solution

The fourth proportional to 100,353.57, 138,532.14 and 70,257.03 is: 96,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,353.57 : 138,532.14 = 70,257.03 : x
  2. Step 2: Convert to fraction form
    100,353.57/138,532.14 = 70,257.03/x
  3. Step 3: Cross multiply
    100,353.57x = 138,532.14 × 70,257.03
  4. Step 4: Simplify right side
    100,353.57x = 9,732,856,715.94
  5. Step 5: Solve for x
    x = 9,732,856,715.94/100,353.57
  6. Step 6: Final answer
    x = 96,985.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.