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Finding the Fourth Proportional to 78,068.98, 117,103.65 and 18,904.42

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Solution

The fourth proportional to 78,068.98, 117,103.65 and 18,904.42 is: 28,356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,068.98 : 117,103.65 = 18,904.42 : x
  2. Step 2: Convert to fraction form
    78,068.98/117,103.65 = 18,904.42/x
  3. Step 3: Cross multiply
    78,068.98x = 117,103.65 × 18,904.42
  4. Step 4: Simplify right side
    78,068.98x = 2,213,776,583.13
  5. Step 5: Solve for x
    x = 2,213,776,583.13/78,068.98
  6. Step 6: Final answer
    x = 28,356.67

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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.