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Finding the Fourth Proportional to 118,449, 177,673.50 and 30,897

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Solution

The fourth proportional to 118,449, 177,673.50 and 30,897 is: 46,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,449 : 177,673.50 = 30,897 : x
  2. Step 2: Convert to fraction form
    118,449/177,673.50 = 30,897/x
  3. Step 3: Cross multiply
    118,449x = 177,673.50 × 30,897
  4. Step 4: Simplify right side
    118,449x = 5,489,578,129.50
  5. Step 5: Solve for x
    x = 5,489,578,129.50/118,449
  6. Step 6: Final answer
    x = 46,345.50

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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.