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Finding the Fourth Proportional to 43,121, 64,681.50 and 11,956.25

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Solution

The fourth proportional to 43,121, 64,681.50 and 11,956.25 is: 17,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,121 : 64,681.50 = 11,956.25 : x
  2. Step 2: Convert to fraction form
    43,121/64,681.50 = 11,956.25/x
  3. Step 3: Cross multiply
    43,121x = 64,681.50 × 11,956.25
  4. Step 4: Simplify right side
    43,121x = 773,348,184.38
  5. Step 5: Solve for x
    x = 773,348,184.38/43,121
  6. Step 6: Final answer
    x = 17,934.38

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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.