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Finding the Fourth Proportional to 208,522.24, 287,893.76 and 137,029.12

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Solution

The fourth proportional to 208,522.24, 287,893.76 and 137,029.12 is: 189,187.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,522.24 : 287,893.76 = 137,029.12 : x
  2. Step 2: Convert to fraction form
    208,522.24/287,893.76 = 137,029.12/x
  3. Step 3: Cross multiply
    208,522.24x = 287,893.76 × 137,029.12
  4. Step 4: Simplify right side
    208,522.24x = 39,449,828,586.29
  5. Step 5: Solve for x
    x = 39,449,828,586.29/208,522.24
  6. Step 6: Final answer
    x = 189,187.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.