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Finding the Fourth Proportional to 43,173, 64,759.50 and 12,009.06

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Solution

The fourth proportional to 43,173, 64,759.50 and 12,009.06 is: 18,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,173 : 64,759.50 = 12,009.06 : x
  2. Step 2: Convert to fraction form
    43,173/64,759.50 = 12,009.06/x
  3. Step 3: Cross multiply
    43,173x = 64,759.50 × 12,009.06
  4. Step 4: Simplify right side
    43,173x = 777,700,721.07
  5. Step 5: Solve for x
    x = 777,700,721.07/43,173
  6. Step 6: Final answer
    x = 18,013.59

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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.