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Finding the Fourth Proportional to 228,078.76, 342,136.38 and 78,258.76

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Solution

The fourth proportional to 228,078.76, 342,136.38 and 78,258.76 is: 117,394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,078.76 : 342,136.38 = 78,258.76 : x
  2. Step 2: Convert to fraction form
    228,078.76/342,136.38 = 78,258.76/x
  3. Step 3: Cross multiply
    228,078.76x = 342,136.38 × 78,258.76
  4. Step 4: Simplify right side
    228,078.76x = 26,775,168,849.69
  5. Step 5: Solve for x
    x = 26,775,168,849.69/228,078.76
  6. Step 6: Final answer
    x = 117,394.40

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1.5x scale

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.