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Finding the Fourth Proportional to 154,826, 213,661.67 and 85,916.88

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Solution

The fourth proportional to 154,826, 213,661.67 and 85,916.88 is: 118,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,826 : 213,661.67 = 85,916.88 : x
  2. Step 2: Convert to fraction form
    154,826/213,661.67 = 85,916.88/x
  3. Step 3: Cross multiply
    154,826x = 213,661.67 × 85,916.88
  4. Step 4: Simplify right side
    154,826x = 18,357,144,061.99
  5. Step 5: Solve for x
    x = 18,357,144,061.99/154,826
  6. Step 6: Final answer
    x = 118,566.29

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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.