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Finding the Fourth Proportional to 208,312.61, 312,485.11 and 68,085.41

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Solution

The fourth proportional to 208,312.61, 312,485.11 and 68,085.41 is: 102,133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,312.61 : 312,485.11 = 68,085.41 : x
  2. Step 2: Convert to fraction form
    208,312.61/312,485.11 = 68,085.41/x
  3. Step 3: Cross multiply
    208,312.61x = 312,485.11 × 68,085.41
  4. Step 4: Simplify right side
    208,312.61x = 21,275,676,833.25
  5. Step 5: Solve for x
    x = 21,275,676,833.25/208,312.61
  6. Step 6: Final answer
    x = 102,133.41

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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.