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Finding the Fourth Proportional to 45,905.80, 68,772.30 and 23,643.40

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Solution

The fourth proportional to 45,905.80, 68,772.30 and 23,643.40 is: 35,420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,905.80 : 68,772.30 = 23,643.40 : x
  2. Step 2: Convert to fraction form
    45,905.80/68,772.30 = 23,643.40/x
  3. Step 3: Cross multiply
    45,905.80x = 68,772.30 × 23,643.40
  4. Step 4: Simplify right side
    45,905.80x = 1,626,010,997.82
  5. Step 5: Solve for x
    x = 1,626,010,997.82/45,905.80
  6. Step 6: Final answer
    x = 35,420.60

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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.