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Finding the Fourth Proportional to 102,402, 153,628.92 and 28,530

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Solution

The fourth proportional to 102,402, 153,628.92 and 28,530 is: 42,802.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,402 : 153,628.92 = 28,530 : x
  2. Step 2: Convert to fraction form
    102,402/153,628.92 = 28,530/x
  3. Step 3: Cross multiply
    102,402x = 153,628.92 × 28,530
  4. Step 4: Simplify right side
    102,402x = 4,383,033,087.60
  5. Step 5: Solve for x
    x = 4,383,033,087.60/102,402
  6. Step 6: Final answer
    x = 42,802.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.