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Finding the Fourth Proportional to 145,473.76, 200,756.40 and 85,049.44

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Solution

The fourth proportional to 145,473.76, 200,756.40 and 85,049.44 is: 117,369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,473.76 : 200,756.40 = 85,049.44 : x
  2. Step 2: Convert to fraction form
    145,473.76/200,756.40 = 85,049.44/x
  3. Step 3: Cross multiply
    145,473.76x = 200,756.40 × 85,049.44
  4. Step 4: Simplify right side
    145,473.76x = 17,074,219,396.42
  5. Step 5: Solve for x
    x = 17,074,219,396.42/145,473.76
  6. Step 6: Final answer
    x = 117,369.75

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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.