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Finding the Fourth Proportional to 148,064, 204,328.31 and 80,080.98

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Solution

The fourth proportional to 148,064, 204,328.31 and 80,080.98 is: 110,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,064 : 204,328.31 = 80,080.98 : x
  2. Step 2: Convert to fraction form
    148,064/204,328.31 = 80,080.98/x
  3. Step 3: Cross multiply
    148,064x = 204,328.31 × 80,080.98
  4. Step 4: Simplify right side
    148,064x = 16,362,811,306.54
  5. Step 5: Solve for x
    x = 16,362,811,306.54/148,064
  6. Step 6: Final answer
    x = 110,511.75

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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.