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Finding the Fourth Proportional to 208,474.50, 287,537.40 and 130,972.68

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Solution

The fourth proportional to 208,474.50, 287,537.40 and 130,972.68 is: 180,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,474.50 : 287,537.40 = 130,972.68 : x
  2. Step 2: Convert to fraction form
    208,474.50/287,537.40 = 130,972.68/x
  3. Step 3: Cross multiply
    208,474.50x = 287,537.40 × 130,972.68
  4. Step 4: Simplify right side
    208,474.50x = 37,659,543,878.23
  5. Step 5: Solve for x
    x = 37,659,543,878.23/208,474.50
  6. Step 6: Final answer
    x = 180,643.41

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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.