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Finding the Fourth Proportional to 35,139, 52,725.81 and 16,420.33

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Solution

The fourth proportional to 35,139, 52,725.81 and 16,420.33 is: 24,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,139 : 52,725.81 = 16,420.33 : x
  2. Step 2: Convert to fraction form
    35,139/52,725.81 = 16,420.33/x
  3. Step 3: Cross multiply
    35,139x = 52,725.81 × 16,420.33
  4. Step 4: Simplify right side
    35,139x = 865,775,199.72
  5. Step 5: Solve for x
    x = 865,775,199.72/35,139
  6. Step 6: Final answer
    x = 24,638.58

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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.