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Finding the Fourth Proportional to 102,389.54, 153,584.30 and 28,517.54

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Solution

The fourth proportional to 102,389.54, 153,584.30 and 28,517.54 is: 42,776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,389.54 : 153,584.30 = 28,517.54 : x
  2. Step 2: Convert to fraction form
    102,389.54/153,584.30 = 28,517.54/x
  3. Step 3: Cross multiply
    102,389.54x = 153,584.30 × 28,517.54
  4. Step 4: Simplify right side
    102,389.54x = 4,379,845,508.11
  5. Step 5: Solve for x
    x = 4,379,845,508.11/102,389.54
  6. Step 6: Final answer
    x = 42,776.30

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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.