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Finding the Fourth Proportional to 211,392.60, 291,715.47 and 115,896.03

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Solution

The fourth proportional to 211,392.60, 291,715.47 and 115,896.03 is: 159,933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,392.60 : 291,715.47 = 115,896.03 : x
  2. Step 2: Convert to fraction form
    211,392.60/291,715.47 = 115,896.03/x
  3. Step 3: Cross multiply
    211,392.60x = 291,715.47 × 115,896.03
  4. Step 4: Simplify right side
    211,392.60x = 33,808,664,862.58
  5. Step 5: Solve for x
    x = 33,808,664,862.58/211,392.60
  6. Step 6: Final answer
    x = 159,933.06

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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.