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Finding the Fourth Proportional to 153,843.94, 212,315.30 and 85,874.14

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Solution

The fourth proportional to 153,843.94, 212,315.30 and 85,874.14 is: 118,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,843.94 : 212,315.30 = 85,874.14 : x
  2. Step 2: Convert to fraction form
    153,843.94/212,315.30 = 85,874.14/x
  3. Step 3: Cross multiply
    153,843.94x = 212,315.30 × 85,874.14
  4. Step 4: Simplify right side
    153,843.94x = 18,232,393,796.34
  5. Step 5: Solve for x
    x = 18,232,393,796.34/153,843.94
  6. Step 6: Final answer
    x = 118,512.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.