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Finding the Fourth Proportional to 210,893.30, 291,032.44 and 115,399.98

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Solution

The fourth proportional to 210,893.30, 291,032.44 and 115,399.98 is: 159,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,893.30 : 291,032.44 = 115,399.98 : x
  2. Step 2: Convert to fraction form
    210,893.30/291,032.44 = 115,399.98/x
  3. Step 3: Cross multiply
    210,893.30x = 291,032.44 × 115,399.98
  4. Step 4: Simplify right side
    210,893.30x = 33,585,137,755.35
  5. Step 5: Solve for x
    x = 33,585,137,755.35/210,893.30
  6. Step 6: Final answer
    x = 159,251.80

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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.