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Finding the Fourth Proportional to 53,686.84, 80,505.24 and 19,929.34

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Solution

The fourth proportional to 53,686.84, 80,505.24 and 19,929.34 is: 29,884.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,686.84 : 80,505.24 = 19,929.34 : x
  2. Step 2: Convert to fraction form
    53,686.84/80,505.24 = 19,929.34/x
  3. Step 3: Cross multiply
    53,686.84x = 80,505.24 × 19,929.34
  4. Step 4: Simplify right side
    53,686.84x = 1,604,416,299.74
  5. Step 5: Solve for x
    x = 1,604,416,299.74/53,686.84
  6. Step 6: Final answer
    x = 29,884.72

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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.