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Finding the Fourth Proportional to 201,884.72, 278,534.04 and 130,312.31

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Solution

The fourth proportional to 201,884.72, 278,534.04 and 130,312.31 is: 179,787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,884.72 : 278,534.04 = 130,312.31 : x
  2. Step 2: Convert to fraction form
    201,884.72/278,534.04 = 130,312.31/x
  3. Step 3: Cross multiply
    201,884.72x = 278,534.04 × 130,312.31
  4. Step 4: Simplify right side
    201,884.72x = 36,296,414,166.03
  5. Step 5: Solve for x
    x = 36,296,414,166.03/201,884.72
  6. Step 6: Final answer
    x = 179,787.82

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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.