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Finding the Fourth Proportional to 85,985.43, 128,910.31 and 54,328.77

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Solution

The fourth proportional to 85,985.43, 128,910.31 and 54,328.77 is: 81,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,985.43 : 128,910.31 = 54,328.77 : x
  2. Step 2: Convert to fraction form
    85,985.43/128,910.31 = 54,328.77/x
  3. Step 3: Cross multiply
    85,985.43x = 128,910.31 × 54,328.77
  4. Step 4: Simplify right side
    85,985.43x = 7,003,539,133.94
  5. Step 5: Solve for x
    x = 7,003,539,133.94/85,985.43
  6. Step 6: Final answer
    x = 81,450.30

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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.