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Finding the Fourth Proportional to 145,602.12, 200,930.51 and 81,939.98

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Solution

The fourth proportional to 145,602.12, 200,930.51 and 81,939.98 is: 113,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,602.12 : 200,930.51 = 81,939.98 : x
  2. Step 2: Convert to fraction form
    145,602.12/200,930.51 = 81,939.98/x
  3. Step 3: Cross multiply
    145,602.12x = 200,930.51 × 81,939.98
  4. Step 4: Simplify right side
    145,602.12x = 16,464,240,556.44
  5. Step 5: Solve for x
    x = 16,464,240,556.44/145,602.12
  6. Step 6: Final answer
    x = 113,076.93

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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.