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Finding the Fourth Proportional to 140,494.14, 210,741.39 and 57,388.14

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Solution

The fourth proportional to 140,494.14, 210,741.39 and 57,388.14 is: 86,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,494.14 : 210,741.39 = 57,388.14 : x
  2. Step 2: Convert to fraction form
    140,494.14/210,741.39 = 57,388.14/x
  3. Step 3: Cross multiply
    140,494.14x = 210,741.39 × 57,388.14
  4. Step 4: Simplify right side
    140,494.14x = 12,094,056,393.11
  5. Step 5: Solve for x
    x = 12,094,056,393.11/140,494.14
  6. Step 6: Final answer
    x = 86,082.28

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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.