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Finding the Fourth Proportional to 237,801.83, 328,169.21 and 135,840.78

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Solution

The fourth proportional to 237,801.83, 328,169.21 and 135,840.78 is: 187,461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,801.83 : 328,169.21 = 135,840.78 : x
  2. Step 2: Convert to fraction form
    237,801.83/328,169.21 = 135,840.78/x
  3. Step 3: Cross multiply
    237,801.83x = 328,169.21 × 135,840.78
  4. Step 4: Simplify right side
    237,801.83x = 44,578,760,779.18
  5. Step 5: Solve for x
    x = 44,578,760,779.18/237,801.83
  6. Step 6: Final answer
    x = 187,461.81

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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.