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Finding the Fourth Proportional to 100,104.42, 138,159.64 and 57,084

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Solution

The fourth proportional to 100,104.42, 138,159.64 and 57,084 is: 78,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,104.42 : 138,159.64 = 57,084 : x
  2. Step 2: Convert to fraction form
    100,104.42/138,159.64 = 57,084/x
  3. Step 3: Cross multiply
    100,104.42x = 138,159.64 × 57,084
  4. Step 4: Simplify right side
    100,104.42x = 7,886,704,889.76
  5. Step 5: Solve for x
    x = 7,886,704,889.76/100,104.42
  6. Step 6: Final answer
    x = 78,784.78

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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.