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Finding the Fourth Proportional to 211,363.10, 291,699.48 and 115,888

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Solution

The fourth proportional to 211,363.10, 291,699.48 and 115,888 is: 159,935.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,363.10 : 291,699.48 = 115,888 : x
  2. Step 2: Convert to fraction form
    211,363.10/291,699.48 = 115,888/x
  3. Step 3: Cross multiply
    211,363.10x = 291,699.48 × 115,888
  4. Step 4: Simplify right side
    211,363.10x = 33,804,469,338.24
  5. Step 5: Solve for x
    x = 33,804,469,338.24/211,363.10
  6. Step 6: Final answer
    x = 159,935.53

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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.