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Finding the Fourth Proportional to 255,725.70, 383,547.16 and 120,789.54

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Solution

The fourth proportional to 255,725.70, 383,547.16 and 120,789.54 is: 181,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,725.70 : 383,547.16 = 120,789.54 : x
  2. Step 2: Convert to fraction form
    255,725.70/383,547.16 = 120,789.54/x
  3. Step 3: Cross multiply
    255,725.70x = 383,547.16 × 120,789.54
  4. Step 4: Simplify right side
    255,725.70x = 46,328,485,024.71
  5. Step 5: Solve for x
    x = 46,328,485,024.71/255,725.70
  6. Step 6: Final answer
    x = 181,164.76

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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.