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Finding the Fourth Proportional to 20,178, 30,259.08 and 11,860.08

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Solution

The fourth proportional to 20,178, 30,259.08 and 11,860.08 is: 17,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178 : 30,259.08 = 11,860.08 : x
  2. Step 2: Convert to fraction form
    20,178/30,259.08 = 11,860.08/x
  3. Step 3: Cross multiply
    20,178x = 30,259.08 × 11,860.08
  4. Step 4: Simplify right side
    20,178x = 358,875,109.53
  5. Step 5: Solve for x
    x = 358,875,109.53/20,178
  6. Step 6: Final answer
    x = 17,785.46

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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.