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Finding the Fourth Proportional to 100,102.34, 138,196.90 and 69,520.80

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Solution

The fourth proportional to 100,102.34, 138,196.90 and 69,520.80 is: 95,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,102.34 : 138,196.90 = 69,520.80 : x
  2. Step 2: Convert to fraction form
    100,102.34/138,196.90 = 69,520.80/x
  3. Step 3: Cross multiply
    100,102.34x = 138,196.90 × 69,520.80
  4. Step 4: Simplify right side
    100,102.34x = 9,607,559,045.52
  5. Step 5: Solve for x
    x = 9,607,559,045.52/100,102.34
  6. Step 6: Final answer
    x = 95,977.37

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1.5x scale

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.