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Finding the Fourth Proportional to 148,810.32, 205,359.75 and 80,827.95

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Solution

The fourth proportional to 148,810.32, 205,359.75 and 80,827.95 is: 111,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,810.32 : 205,359.75 = 80,827.95 : x
  2. Step 2: Convert to fraction form
    148,810.32/205,359.75 = 80,827.95/x
  3. Step 3: Cross multiply
    148,810.32x = 205,359.75 × 80,827.95
  4. Step 4: Simplify right side
    148,810.32x = 16,598,807,605.01
  5. Step 5: Solve for x
    x = 16,598,807,605.01/148,810.32
  6. Step 6: Final answer
    x = 111,543.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.