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Finding the Fourth Proportional to 135,442.56, 186,922.08 and 78,857.76

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Solution

The fourth proportional to 135,442.56, 186,922.08 and 78,857.76 is: 108,830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,442.56 : 186,922.08 = 78,857.76 : x
  2. Step 2: Convert to fraction form
    135,442.56/186,922.08 = 78,857.76/x
  3. Step 3: Cross multiply
    135,442.56x = 186,922.08 × 78,857.76
  4. Step 4: Simplify right side
    135,442.56x = 14,740,256,523.34
  5. Step 5: Solve for x
    x = 14,740,256,523.34/135,442.56
  6. Step 6: Final answer
    x = 108,830.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.