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Finding the Fourth Proportional to 208,459.89, 287,592.46 and 135,947.25

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Solution

The fourth proportional to 208,459.89, 287,592.46 and 135,947.25 is: 187,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,459.89 : 287,592.46 = 135,947.25 : x
  2. Step 2: Convert to fraction form
    208,459.89/287,592.46 = 135,947.25/x
  3. Step 3: Cross multiply
    208,459.89x = 287,592.46 × 135,947.25
  4. Step 4: Simplify right side
    208,459.89x = 39,097,405,227.07
  5. Step 5: Solve for x
    x = 39,097,405,227.07/208,459.89
  6. Step 6: Final answer
    x = 187,553.62

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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.