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Finding the Fourth Proportional to 137,315.64, 206,006.34 and 57,309.12

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Solution

The fourth proportional to 137,315.64, 206,006.34 and 57,309.12 is: 85,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,315.64 : 206,006.34 = 57,309.12 : x
  2. Step 2: Convert to fraction form
    137,315.64/206,006.34 = 57,309.12/x
  3. Step 3: Cross multiply
    137,315.64x = 206,006.34 × 57,309.12
  4. Step 4: Simplify right side
    137,315.64x = 11,806,042,059.82
  5. Step 5: Solve for x
    x = 11,806,042,059.82/137,315.64
  6. Step 6: Final answer
    x = 85,977.40

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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.