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Finding the Fourth Proportional to 206,912.78, 310,368.71 and 57,152.69

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Solution

The fourth proportional to 206,912.78, 310,368.71 and 57,152.69 is: 85,728.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,912.78 : 310,368.71 = 57,152.69 : x
  2. Step 2: Convert to fraction form
    206,912.78/310,368.71 = 57,152.69/x
  3. Step 3: Cross multiply
    206,912.78x = 310,368.71 × 57,152.69
  4. Step 4: Simplify right side
    206,912.78x = 17,738,406,423.25
  5. Step 5: Solve for x
    x = 17,738,406,423.25/206,912.78
  6. Step 6: Final answer
    x = 85,728.91

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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.