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Finding the Fourth Proportional to 85,893.72, 128,802.81 and 35,257.98

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Solution

The fourth proportional to 85,893.72, 128,802.81 and 35,257.98 is: 52,871.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,893.72 : 128,802.81 = 35,257.98 : x
  2. Step 2: Convert to fraction form
    85,893.72/128,802.81 = 35,257.98/x
  3. Step 3: Cross multiply
    85,893.72x = 128,802.81 × 35,257.98
  4. Step 4: Simplify right side
    85,893.72x = 4,541,326,898.92
  5. Step 5: Solve for x
    x = 4,541,326,898.92/85,893.72
  6. Step 6: Final answer
    x = 52,871.47

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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.