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Finding the Fourth Proportional to 43,312.32, 64,949.04 and 19,926

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Solution

The fourth proportional to 43,312.32, 64,949.04 and 19,926 is: 29,880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,312.32 : 64,949.04 = 19,926 : x
  2. Step 2: Convert to fraction form
    43,312.32/64,949.04 = 19,926/x
  3. Step 3: Cross multiply
    43,312.32x = 64,949.04 × 19,926
  4. Step 4: Simplify right side
    43,312.32x = 1,294,174,571.04
  5. Step 5: Solve for x
    x = 1,294,174,571.04/43,312.32
  6. Step 6: Final answer
    x = 29,880.06

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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.