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Finding the Fourth Proportional to 100,047.01, 150,032.85 and 40,851

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Solution

The fourth proportional to 100,047.01, 150,032.85 and 40,851 is: 61,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,047.01 : 150,032.85 = 40,851 : x
  2. Step 2: Convert to fraction form
    100,047.01/150,032.85 = 40,851/x
  3. Step 3: Cross multiply
    100,047.01x = 150,032.85 × 40,851
  4. Step 4: Simplify right side
    100,047.01x = 6,128,991,955.35
  5. Step 5: Solve for x
    x = 6,128,991,955.35/100,047.01
  6. Step 6: Final answer
    x = 61,261.12

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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.