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Finding the Fourth Proportional to 208,704.31, 312,779.67 and 108,948.41

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Solution

The fourth proportional to 208,704.31, 312,779.67 and 108,948.41 is: 163,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,704.31 : 312,779.67 = 108,948.41 : x
  2. Step 2: Convert to fraction form
    208,704.31/312,779.67 = 108,948.41/x
  3. Step 3: Cross multiply
    208,704.31x = 312,779.67 × 108,948.41
  4. Step 4: Simplify right side
    208,704.31x = 34,076,847,726.82
  5. Step 5: Solve for x
    x = 34,076,847,726.82/208,704.31
  6. Step 6: Final answer
    x = 163,278.12

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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.