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Finding the Fourth Proportional to 102,910.70, 154,366.05 and 98,828.30

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Solution

The fourth proportional to 102,910.70, 154,366.05 and 98,828.30 is: 148,242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,910.70 : 154,366.05 = 98,828.30 : x
  2. Step 2: Convert to fraction form
    102,910.70/154,366.05 = 98,828.30/x
  3. Step 3: Cross multiply
    102,910.70x = 154,366.05 × 98,828.30
  4. Step 4: Simplify right side
    102,910.70x = 15,255,734,299.22
  5. Step 5: Solve for x
    x = 15,255,734,299.22/102,910.70
  6. Step 6: Final answer
    x = 148,242.45

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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.