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Finding the Fourth Proportional to 118,130.75, 177,196.13 and 30,578.75

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Solution

The fourth proportional to 118,130.75, 177,196.13 and 30,578.75 is: 45,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,130.75 : 177,196.13 = 30,578.75 : x
  2. Step 2: Convert to fraction form
    118,130.75/177,196.13 = 30,578.75/x
  3. Step 3: Cross multiply
    118,130.75x = 177,196.13 × 30,578.75
  4. Step 4: Simplify right side
    118,130.75x = 5,418,436,007.34
  5. Step 5: Solve for x
    x = 5,418,436,007.34/118,130.75
  6. Step 6: Final answer
    x = 45,868.13

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1.5x scale

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.