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Finding the Fourth Proportional to 53,410.99, 80,109.51 and 13,971.13

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Solution

The fourth proportional to 53,410.99, 80,109.51 and 13,971.13 is: 20,954.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,410.99 : 80,109.51 = 13,971.13 : x
  2. Step 2: Convert to fraction form
    53,410.99/80,109.51 = 13,971.13/x
  3. Step 3: Cross multiply
    53,410.99x = 80,109.51 × 13,971.13
  4. Step 4: Simplify right side
    53,410.99x = 1,119,220,378.45
  5. Step 5: Solve for x
    x = 1,119,220,378.45/53,410.99
  6. Step 6: Final answer
    x = 20,954.87

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1.5x scale

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.