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Finding the Fourth Proportional to 245,106.38, 367,581.80 and 78,855.50

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Solution

The fourth proportional to 245,106.38, 367,581.80 and 78,855.50 is: 118,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,106.38 : 367,581.80 = 78,855.50 : x
  2. Step 2: Convert to fraction form
    245,106.38/367,581.80 = 78,855.50/x
  3. Step 3: Cross multiply
    245,106.38x = 367,581.80 × 78,855.50
  4. Step 4: Simplify right side
    245,106.38x = 28,985,846,629.90
  5. Step 5: Solve for x
    x = 28,985,846,629.90/245,106.38
  6. Step 6: Final answer
    x = 118,258.23

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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.