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Finding the Fourth Proportional to 53,580.98, 80,376.80 and 19,856.00

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Solution

The fourth proportional to 53,580.98, 80,376.80 and 19,856.00 is: 29,785.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,580.98 : 80,376.80 = 19,856.00 : x
  2. Step 2: Convert to fraction form
    53,580.98/80,376.80 = 19,856.00/x
  3. Step 3: Cross multiply
    53,580.98x = 80,376.80 × 19,856.00
  4. Step 4: Simplify right side
    53,580.98x = 1,595,961,239.64
  5. Step 5: Solve for x
    x = 1,595,961,239.64/53,580.98
  6. Step 6: Final answer
    x = 29,785.97

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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.