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Finding the Fourth Proportional to 102,776.40, 154,176.44 and 39,581.80

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Solution

The fourth proportional to 102,776.40, 154,176.44 and 39,581.80 is: 59,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,776.40 : 154,176.44 = 39,581.80 : x
  2. Step 2: Convert to fraction form
    102,776.40/154,176.44 = 39,581.80/x
  3. Step 3: Cross multiply
    102,776.40x = 154,176.44 × 39,581.80
  4. Step 4: Simplify right side
    102,776.40x = 6,102,581,012.79
  5. Step 5: Solve for x
    x = 6,102,581,012.79/102,776.40
  6. Step 6: Final answer
    x = 59,377.26

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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.