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Finding the Fourth Proportional to 118,531, 177,803 and 35,431.48

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Solution

The fourth proportional to 118,531, 177,803 and 35,431.48 is: 53,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,531 : 177,803 = 35,431.48 : x
  2. Step 2: Convert to fraction form
    118,531/177,803 = 35,431.48/x
  3. Step 3: Cross multiply
    118,531x = 177,803 × 35,431.48
  4. Step 4: Simplify right side
    118,531x = 6,299,823,438.44
  5. Step 5: Solve for x
    x = 6,299,823,438.44/118,531
  6. Step 6: Final answer
    x = 53,149.16

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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.