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Finding the Fourth Proportional to 57,346, 86,022.24 and 20,410

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Solution

The fourth proportional to 57,346, 86,022.24 and 20,410 is: 30,616.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,346 : 86,022.24 = 20,410 : x
  2. Step 2: Convert to fraction form
    57,346/86,022.24 = 20,410/x
  3. Step 3: Cross multiply
    57,346x = 86,022.24 × 20,410
  4. Step 4: Simplify right side
    57,346x = 1,755,713,918.40
  5. Step 5: Solve for x
    x = 1,755,713,918.40/57,346
  6. Step 6: Final answer
    x = 30,616.15

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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.