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Finding the Fourth Proportional to 78,138.79, 117,206.57 and 18,974.77

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Solution

The fourth proportional to 78,138.79, 117,206.57 and 18,974.77 is: 28,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,138.79 : 117,206.57 = 18,974.77 : x
  2. Step 2: Convert to fraction form
    78,138.79/117,206.57 = 18,974.77/x
  3. Step 3: Cross multiply
    78,138.79x = 117,206.57 × 18,974.77
  4. Step 4: Simplify right side
    78,138.79x = 2,223,967,613.37
  5. Step 5: Solve for x
    x = 2,223,967,613.37/78,138.79
  6. Step 6: Final answer
    x = 28,461.76

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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.