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Finding the Fourth Proportional to 137,371.95, 206,038.08 and 53,171.84

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Solution

The fourth proportional to 137,371.95, 206,038.08 and 53,171.84 is: 79,750.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,371.95 : 206,038.08 = 53,171.84 : x
  2. Step 2: Convert to fraction form
    137,371.95/206,038.08 = 53,171.84/x
  3. Step 3: Cross multiply
    137,371.95x = 206,038.08 × 53,171.84
  4. Step 4: Simplify right side
    137,371.95x = 10,955,424,338.76
  5. Step 5: Solve for x
    x = 10,955,424,338.76/137,371.95
  6. Step 6: Final answer
    x = 79,750.08

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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.