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Finding the Fourth Proportional to 291,159.16, 436,741.47 and 91,475.12

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Solution

The fourth proportional to 291,159.16, 436,741.47 and 91,475.12 is: 137,213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,159.16 : 436,741.47 = 91,475.12 : x
  2. Step 2: Convert to fraction form
    291,159.16/436,741.47 = 91,475.12/x
  3. Step 3: Cross multiply
    291,159.16x = 436,741.47 × 91,475.12
  4. Step 4: Simplify right side
    291,159.16x = 39,950,979,469.08
  5. Step 5: Solve for x
    x = 39,950,979,469.08/291,159.16
  6. Step 6: Final answer
    x = 137,213.54

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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.