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Finding the Fourth Proportional to 39,520, 59,293.76 and 19,794.16

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Solution

The fourth proportional to 39,520, 59,293.76 and 19,794.16 is: 29,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,520 : 59,293.76 = 19,794.16 : x
  2. Step 2: Convert to fraction form
    39,520/59,293.76 = 19,794.16/x
  3. Step 3: Cross multiply
    39,520x = 59,293.76 × 19,794.16
  4. Step 4: Simplify right side
    39,520x = 1,173,670,172.44
  5. Step 5: Solve for x
    x = 1,173,670,172.44/39,520
  6. Step 6: Final answer
    x = 29,698.13

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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.