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Finding the Fourth Proportional to 109,638.64, 164,325.52 and 53,394.47

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Solution

The fourth proportional to 109,638.64, 164,325.52 and 53,394.47 is: 80,027.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,638.64 : 164,325.52 = 53,394.47 : x
  2. Step 2: Convert to fraction form
    109,638.64/164,325.52 = 53,394.47/x
  3. Step 3: Cross multiply
    109,638.64x = 164,325.52 × 53,394.47
  4. Step 4: Simplify right side
    109,638.64x = 8,774,074,047.87
  5. Step 5: Solve for x
    x = 8,774,074,047.87/109,638.64
  6. Step 6: Final answer
    x = 80,027.21

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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.