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Finding the Fourth Proportional to 102,783.98, 154,192.59 and 31,689.99

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Solution

The fourth proportional to 102,783.98, 154,192.59 and 31,689.99 is: 47,540.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,783.98 : 154,192.59 = 31,689.99 : x
  2. Step 2: Convert to fraction form
    102,783.98/154,192.59 = 31,689.99/x
  3. Step 3: Cross multiply
    102,783.98x = 154,192.59 × 31,689.99
  4. Step 4: Simplify right side
    102,783.98x = 4,886,361,635.17
  5. Step 5: Solve for x
    x = 4,886,361,635.17/102,783.98
  6. Step 6: Final answer
    x = 47,540.11

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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.