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Finding the Fourth Proportional to 211,157.64, 291,400.74 and 115,664.04

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Solution

The fourth proportional to 211,157.64, 291,400.74 and 115,664.04 is: 159,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,157.64 : 291,400.74 = 115,664.04 : x
  2. Step 2: Convert to fraction form
    211,157.64/291,400.74 = 115,664.04/x
  3. Step 3: Cross multiply
    211,157.64x = 291,400.74 × 115,664.04
  4. Step 4: Simplify right side
    211,157.64x = 33,704,586,847.39
  5. Step 5: Solve for x
    x = 33,704,586,847.39/211,157.64
  6. Step 6: Final answer
    x = 159,618.13

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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.