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Finding the Fourth Proportional to 225,588, 338,326.56 and 99,259.98

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Solution

The fourth proportional to 225,588, 338,326.56 and 99,259.98 is: 148,865.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,588 : 338,326.56 = 99,259.98 : x
  2. Step 2: Convert to fraction form
    225,588/338,326.56 = 99,259.98/x
  3. Step 3: Cross multiply
    225,588x = 338,326.56 × 99,259.98
  4. Step 4: Simplify right side
    225,588x = 33,582,287,579.07
  5. Step 5: Solve for x
    x = 33,582,287,579.07/225,588
  6. Step 6: Final answer
    x = 148,865.58

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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.