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Finding the Fourth Proportional to 43,163.66, 64,728.47 and 20,970.47

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Solution

The fourth proportional to 43,163.66, 64,728.47 and 20,970.47 is: 31,447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,163.66 : 64,728.47 = 20,970.47 : x
  2. Step 2: Convert to fraction form
    43,163.66/64,728.47 = 20,970.47/x
  3. Step 3: Cross multiply
    43,163.66x = 64,728.47 × 20,970.47
  4. Step 4: Simplify right side
    43,163.66x = 1,357,386,009.79
  5. Step 5: Solve for x
    x = 1,357,386,009.79/43,163.66
  6. Step 6: Final answer
    x = 31,447.43

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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.