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Finding the Fourth Proportional to 53,102.88, 79,648.20 and 19,824.12

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Solution

The fourth proportional to 53,102.88, 79,648.20 and 19,824.12 is: 29,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,102.88 : 79,648.20 = 19,824.12 : x
  2. Step 2: Convert to fraction form
    53,102.88/79,648.20 = 19,824.12/x
  3. Step 3: Cross multiply
    53,102.88x = 79,648.20 × 19,824.12
  4. Step 4: Simplify right side
    53,102.88x = 1,578,955,474.58
  5. Step 5: Solve for x
    x = 1,578,955,474.58/53,102.88
  6. Step 6: Final answer
    x = 29,733.90

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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.