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Finding the Fourth Proportional to 42,753.29, 64,143.77 and 20,563.77

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Solution

The fourth proportional to 42,753.29, 64,143.77 and 20,563.77 is: 30,852.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,753.29 : 64,143.77 = 20,563.77 : x
  2. Step 2: Convert to fraction form
    42,753.29/64,143.77 = 20,563.77/x
  3. Step 3: Cross multiply
    42,753.29x = 64,143.77 × 20,563.77
  4. Step 4: Simplify right side
    42,753.29x = 1,319,038,044.44
  5. Step 5: Solve for x
    x = 1,319,038,044.44/42,753.29
  6. Step 6: Final answer
    x = 30,852.31

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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.