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Finding the Fourth Proportional to 154,768.32, 232,074.72 and 71,720.64

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Solution

The fourth proportional to 154,768.32, 232,074.72 and 71,720.64 is: 107,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,768.32 : 232,074.72 = 71,720.64 : x
  2. Step 2: Convert to fraction form
    154,768.32/232,074.72 = 71,720.64/x
  3. Step 3: Cross multiply
    154,768.32x = 232,074.72 × 71,720.64
  4. Step 4: Simplify right side
    154,768.32x = 16,644,547,446.22
  5. Step 5: Solve for x
    x = 16,644,547,446.22/154,768.32
  6. Step 6: Final answer
    x = 107,544.93

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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.