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Finding the Fourth Proportional to 39,199, 54,094.62 and 21,535

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Solution

The fourth proportional to 39,199, 54,094.62 and 21,535 is: 29,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,199 : 54,094.62 = 21,535 : x
  2. Step 2: Convert to fraction form
    39,199/54,094.62 = 21,535/x
  3. Step 3: Cross multiply
    39,199x = 54,094.62 × 21,535
  4. Step 4: Simplify right side
    39,199x = 1,164,927,641.70
  5. Step 5: Solve for x
    x = 1,164,927,641.70/39,199
  6. Step 6: Final answer
    x = 29,718.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.