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Finding the Fourth Proportional to 230,194.95, 317,718.05 and 154,699.71

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Solution

The fourth proportional to 230,194.95, 317,718.05 and 154,699.71 is: 213,518.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,194.95 : 317,718.05 = 154,699.71 : x
  2. Step 2: Convert to fraction form
    230,194.95/317,718.05 = 154,699.71/x
  3. Step 3: Cross multiply
    230,194.95x = 317,718.05 × 154,699.71
  4. Step 4: Simplify right side
    230,194.95x = 49,150,890,196.77
  5. Step 5: Solve for x
    x = 49,150,890,196.77/230,194.95
  6. Step 6: Final answer
    x = 213,518.54

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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.