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Finding the Fourth Proportional to 154,953.60, 213,938.24 and 119,078.40

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Solution

The fourth proportional to 154,953.60, 213,938.24 and 119,078.40 is: 164,406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,953.60 : 213,938.24 = 119,078.40 : x
  2. Step 2: Convert to fraction form
    154,953.60/213,938.24 = 119,078.40/x
  3. Step 3: Cross multiply
    154,953.60x = 213,938.24 × 119,078.40
  4. Step 4: Simplify right side
    154,953.60x = 25,475,423,318.02
  5. Step 5: Solve for x
    x = 25,475,423,318.02/154,953.60
  6. Step 6: Final answer
    x = 164,406.79

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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.