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Finding the Fourth Proportional to 102,952.85, 154,414.62 and 39,802.70

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Solution

The fourth proportional to 102,952.85, 154,414.62 and 39,802.70 is: 59,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,952.85 : 154,414.62 = 39,802.70 : x
  2. Step 2: Convert to fraction form
    102,952.85/154,414.62 = 39,802.70/x
  3. Step 3: Cross multiply
    102,952.85x = 154,414.62 × 39,802.70
  4. Step 4: Simplify right side
    102,952.85x = 6,146,119,181.51
  5. Step 5: Solve for x
    x = 6,146,119,181.51/102,952.85
  6. Step 6: Final answer
    x = 59,698.39

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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.