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Finding the Fourth Proportional to 102,045, 153,076.32 and 28,173

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Solution

The fourth proportional to 102,045, 153,076.32 and 28,173 is: 42,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,045 : 153,076.32 = 28,173 : x
  2. Step 2: Convert to fraction form
    102,045/153,076.32 = 28,173/x
  3. Step 3: Cross multiply
    102,045x = 153,076.32 × 28,173
  4. Step 4: Simplify right side
    102,045x = 4,312,619,163.36
  5. Step 5: Solve for x
    x = 4,312,619,163.36/102,045
  6. Step 6: Final answer
    x = 42,261.94

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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.