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Finding the Fourth Proportional to 118,986, 178,486.29 and 35,880

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Solution

The fourth proportional to 118,986, 178,486.29 and 35,880 is: 53,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,986 : 178,486.29 = 35,880 : x
  2. Step 2: Convert to fraction form
    118,986/178,486.29 = 35,880/x
  3. Step 3: Cross multiply
    118,986x = 178,486.29 × 35,880
  4. Step 4: Simplify right side
    118,986x = 6,404,088,085.20
  5. Step 5: Solve for x
    x = 6,404,088,085.20/118,986
  6. Step 6: Final answer
    x = 53,822.20

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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.