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Finding the Fourth Proportional to 53,103.60, 79,652.77 and 19,821.11

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Solution

The fourth proportional to 53,103.60, 79,652.77 and 19,821.11 is: 29,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,103.60 : 79,652.77 = 19,821.11 : x
  2. Step 2: Convert to fraction form
    53,103.60/79,652.77 = 19,821.11/x
  3. Step 3: Cross multiply
    53,103.60x = 79,652.77 × 19,821.11
  4. Step 4: Simplify right side
    53,103.60x = 1,578,805,868.16
  5. Step 5: Solve for x
    x = 1,578,805,868.16/53,103.60
  6. Step 6: Final answer
    x = 29,730.67

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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.