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Finding the Fourth Proportional to 85,611.11, 128,384.73 and 29,435.31

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Solution

The fourth proportional to 85,611.11, 128,384.73 and 29,435.31 is: 44,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,611.11 : 128,384.73 = 29,435.31 : x
  2. Step 2: Convert to fraction form
    85,611.11/128,384.73 = 29,435.31/x
  3. Step 3: Cross multiply
    85,611.11x = 128,384.73 × 29,435.31
  4. Step 4: Simplify right side
    85,611.11x = 3,779,044,326.82
  5. Step 5: Solve for x
    x = 3,779,044,326.82/85,611.11
  6. Step 6: Final answer
    x = 44,141.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.