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Finding the Fourth Proportional to 291,095.89, 436,662.36 and 91,424.16

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Solution

The fourth proportional to 291,095.89, 436,662.36 and 91,424.16 is: 137,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,095.89 : 436,662.36 = 91,424.16 : x
  2. Step 2: Convert to fraction form
    291,095.89/436,662.36 = 91,424.16/x
  3. Step 3: Cross multiply
    291,095.89x = 436,662.36 × 91,424.16
  4. Step 4: Simplify right side
    291,095.89x = 39,921,489,466.62
  5. Step 5: Solve for x
    x = 39,921,489,466.62/291,095.89
  6. Step 6: Final answer
    x = 137,142.06

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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.