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Finding the Fourth Proportional to 100,292.50, 138,323.95 and 85,235.01

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Solution

The fourth proportional to 100,292.50, 138,323.95 and 85,235.01 is: 117,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,292.50 : 138,323.95 = 85,235.01 : x
  2. Step 2: Convert to fraction form
    100,292.50/138,323.95 = 85,235.01/x
  3. Step 3: Cross multiply
    100,292.50x = 138,323.95 × 85,235.01
  4. Step 4: Simplify right side
    100,292.50x = 11,790,043,261.49
  5. Step 5: Solve for x
    x = 11,790,043,261.49/100,292.50
  6. Step 6: Final answer
    x = 117,556.58

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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.