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Finding the Fourth Proportional to 211,474.98, 291,843.90 and 115,985.16

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Solution

The fourth proportional to 211,474.98, 291,843.90 and 115,985.16 is: 160,064.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,474.98 : 291,843.90 = 115,985.16 : x
  2. Step 2: Convert to fraction form
    211,474.98/291,843.90 = 115,985.16/x
  3. Step 3: Cross multiply
    211,474.98x = 291,843.90 × 115,985.16
  4. Step 4: Simplify right side
    211,474.98x = 33,849,561,436.52
  5. Step 5: Solve for x
    x = 33,849,561,436.52/211,474.98
  6. Step 6: Final answer
    x = 160,064.14

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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.