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Finding the Fourth Proportional to 145,743.58, 201,219 and 118,950

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Solution

The fourth proportional to 145,743.58, 201,219 and 118,950 is: 164,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,743.58 : 201,219 = 118,950 : x
  2. Step 2: Convert to fraction form
    145,743.58/201,219 = 118,950/x
  3. Step 3: Cross multiply
    145,743.58x = 201,219 × 118,950
  4. Step 4: Simplify right side
    145,743.58x = 23,935,000,050
  5. Step 5: Solve for x
    x = 23,935,000,050/145,743.58
  6. Step 6: Final answer
    x = 164,226.79

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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.