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Finding the Fourth Proportional to 151,546.50, 209,140.68 and 84,478.50

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Solution

The fourth proportional to 151,546.50, 209,140.68 and 84,478.50 is: 116,583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,546.50 : 209,140.68 = 84,478.50 : x
  2. Step 2: Convert to fraction form
    151,546.50/209,140.68 = 84,478.50/x
  3. Step 3: Cross multiply
    151,546.50x = 209,140.68 × 84,478.50
  4. Step 4: Simplify right side
    151,546.50x = 17,667,890,935.38
  5. Step 5: Solve for x
    x = 17,667,890,935.38/151,546.50
  6. Step 6: Final answer
    x = 116,583.96

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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.