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Finding the Fourth Proportional to 137,254.16, 205,916.73 and 80,376.10

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Solution

The fourth proportional to 137,254.16, 205,916.73 and 80,376.10 is: 120,584.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,254.16 : 205,916.73 = 80,376.10 : x
  2. Step 2: Convert to fraction form
    137,254.16/205,916.73 = 80,376.10/x
  3. Step 3: Cross multiply
    137,254.16x = 205,916.73 × 80,376.10
  4. Step 4: Simplify right side
    137,254.16x = 16,550,783,468.77
  5. Step 5: Solve for x
    x = 16,550,783,468.77/137,254.16
  6. Step 6: Final answer
    x = 120,584.93

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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.