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Finding the Fourth Proportional to 243,072.57, 364,667.64 and 91,271.01

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Solution

The fourth proportional to 243,072.57, 364,667.64 and 91,271.01 is: 136,928.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,072.57 : 364,667.64 = 91,271.01 : x
  2. Step 2: Convert to fraction form
    243,072.57/364,667.64 = 91,271.01/x
  3. Step 3: Cross multiply
    243,072.57x = 364,667.64 × 91,271.01
  4. Step 4: Simplify right side
    243,072.57x = 33,283,583,817.12
  5. Step 5: Solve for x
    x = 33,283,583,817.12/243,072.57
  6. Step 6: Final answer
    x = 136,928.59

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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.