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Finding the Fourth Proportional to 105,168.65, 145,138.64 and 57,426.44

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Solution

The fourth proportional to 105,168.65, 145,138.64 and 57,426.44 is: 79,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,168.65 : 145,138.64 = 57,426.44 : x
  2. Step 2: Convert to fraction form
    105,168.65/145,138.64 = 57,426.44/x
  3. Step 3: Cross multiply
    105,168.65x = 145,138.64 × 57,426.44
  4. Step 4: Simplify right side
    105,168.65x = 8,334,794,388.82
  5. Step 5: Solve for x
    x = 8,334,794,388.82/105,168.65
  6. Step 6: Final answer
    x = 79,251.70

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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.