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Finding the Fourth Proportional to 231,154.47, 346,912.47 and 118,830.15

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Solution

The fourth proportional to 231,154.47, 346,912.47 and 118,830.15 is: 178,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,154.47 : 346,912.47 = 118,830.15 : x
  2. Step 2: Convert to fraction form
    231,154.47/346,912.47 = 118,830.15/x
  3. Step 3: Cross multiply
    231,154.47x = 346,912.47 × 118,830.15
  4. Step 4: Simplify right side
    231,154.47x = 41,223,660,846.97
  5. Step 5: Solve for x
    x = 41,223,660,846.97/231,154.47
  6. Step 6: Final answer
    x = 178,338.15

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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.