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Finding the Fourth Proportional to 56,513, 84,769.56 and 19,577

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Solution

The fourth proportional to 56,513, 84,769.56 and 19,577 is: 29,365.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,513 : 84,769.56 = 19,577 : x
  2. Step 2: Convert to fraction form
    56,513/84,769.56 = 19,577/x
  3. Step 3: Cross multiply
    56,513x = 84,769.56 × 19,577
  4. Step 4: Simplify right side
    56,513x = 1,659,533,676.12
  5. Step 5: Solve for x
    x = 1,659,533,676.12/56,513
  6. Step 6: Final answer
    x = 29,365.52

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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.