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Finding the Fourth Proportional to 118,945, 178,486.62 and 53,281

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Solution

The fourth proportional to 118,945, 178,486.62 and 53,281 is: 79,952.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,945 : 178,486.62 = 53,281 : x
  2. Step 2: Convert to fraction form
    118,945/178,486.62 = 53,281/x
  3. Step 3: Cross multiply
    118,945x = 178,486.62 × 53,281
  4. Step 4: Simplify right side
    118,945x = 9,509,945,600.22
  5. Step 5: Solve for x
    x = 9,509,945,600.22/118,945
  6. Step 6: Final answer
    x = 79,952.46

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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.