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Finding the Fourth Proportional to 155,154.80, 214,215 and 119,278.64

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Solution

The fourth proportional to 155,154.80, 214,215 and 119,278.64 is: 164,682.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,154.80 : 214,215 = 119,278.64 : x
  2. Step 2: Convert to fraction form
    155,154.80/214,215 = 119,278.64/x
  3. Step 3: Cross multiply
    155,154.80x = 214,215 × 119,278.64
  4. Step 4: Simplify right side
    155,154.80x = 25,551,273,867.60
  5. Step 5: Solve for x
    x = 25,551,273,867.60/155,154.80
  6. Step 6: Final answer
    x = 164,682.46

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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.