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Finding the Fourth Proportional to 100,242, 150,246.36 and 41,005.89

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Solution

The fourth proportional to 100,242, 150,246.36 and 41,005.89 is: 61,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,242 : 150,246.36 = 41,005.89 : x
  2. Step 2: Convert to fraction form
    100,242/150,246.36 = 41,005.89/x
  3. Step 3: Cross multiply
    100,242x = 150,246.36 × 41,005.89
  4. Step 4: Simplify right side
    100,242x = 6,160,985,711.06
  5. Step 5: Solve for x
    x = 6,160,985,711.06/100,242
  6. Step 6: Final answer
    x = 61,461.12

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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.