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Finding the Fourth Proportional to 212,283.58, 292,949.61 and 120,420.32

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Solution

The fourth proportional to 212,283.58, 292,949.61 and 120,420.32 is: 166,179.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,283.58 : 292,949.61 = 120,420.32 : x
  2. Step 2: Convert to fraction form
    212,283.58/292,949.61 = 120,420.32/x
  3. Step 3: Cross multiply
    212,283.58x = 292,949.61 × 120,420.32
  4. Step 4: Simplify right side
    212,283.58x = 35,277,084,315.33
  5. Step 5: Solve for x
    x = 35,277,084,315.33/212,283.58
  6. Step 6: Final answer
    x = 166,179.06

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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.