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Finding the Fourth Proportional to 102,016, 153,032.82 and 28,144

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Solution

The fourth proportional to 102,016, 153,032.82 and 28,144 is: 42,218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,016 : 153,032.82 = 28,144 : x
  2. Step 2: Convert to fraction form
    102,016/153,032.82 = 28,144/x
  3. Step 3: Cross multiply
    102,016x = 153,032.82 × 28,144
  4. Step 4: Simplify right side
    102,016x = 4,306,955,686.08
  5. Step 5: Solve for x
    x = 4,306,955,686.08/102,016
  6. Step 6: Final answer
    x = 42,218.43

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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.