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Finding the Fourth Proportional to 74,655.68, 111,984.64 and 18,496

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Solution

The fourth proportional to 74,655.68, 111,984.64 and 18,496 is: 27,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,655.68 : 111,984.64 = 18,496 : x
  2. Step 2: Convert to fraction form
    74,655.68/111,984.64 = 18,496/x
  3. Step 3: Cross multiply
    74,655.68x = 111,984.64 × 18,496
  4. Step 4: Simplify right side
    74,655.68x = 2,071,267,901.44
  5. Step 5: Solve for x
    x = 2,071,267,901.44/74,655.68
  6. Step 6: Final answer
    x = 27,744.28

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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.