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Finding the Fourth Proportional to 172,653.16, 259,218.24 and 119,219.74

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Solution

The fourth proportional to 172,653.16, 259,218.24 and 119,219.74 is: 178,994.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,653.16 : 259,218.24 = 119,219.74 : x
  2. Step 2: Convert to fraction form
    172,653.16/259,218.24 = 119,219.74/x
  3. Step 3: Cross multiply
    172,653.16x = 259,218.24 × 119,219.74
  4. Step 4: Simplify right side
    172,653.16x = 30,903,931,176.06
  5. Step 5: Solve for x
    x = 30,903,931,176.06/172,653.16
  6. Step 6: Final answer
    x = 178,994.30

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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.