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Finding the Fourth Proportional to 78,323.01, 117,484.50 and 19,157.97

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Solution

The fourth proportional to 78,323.01, 117,484.50 and 19,157.97 is: 28,736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,323.01 : 117,484.50 = 19,157.97 : x
  2. Step 2: Convert to fraction form
    78,323.01/117,484.50 = 19,157.97/x
  3. Step 3: Cross multiply
    78,323.01x = 117,484.50 × 19,157.97
  4. Step 4: Simplify right side
    78,323.01x = 2,250,764,526.47
  5. Step 5: Solve for x
    x = 2,250,764,526.47/78,323.01
  6. Step 6: Final answer
    x = 28,736.95

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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.