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Finding the Fourth Proportional to 208,312.47, 312,484.90 and 68,085.27

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Solution

The fourth proportional to 208,312.47, 312,484.90 and 68,085.27 is: 102,133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,312.47 : 312,484.90 = 68,085.27 : x
  2. Step 2: Convert to fraction form
    208,312.47/312,484.90 = 68,085.27/x
  3. Step 3: Cross multiply
    208,312.47x = 312,484.90 × 68,085.27
  4. Step 4: Simplify right side
    208,312.47x = 21,275,618,787.42
  5. Step 5: Solve for x
    x = 21,275,618,787.42/208,312.47
  6. Step 6: Final answer
    x = 102,133.20

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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.