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Finding the Fourth Proportional to 102,880.87, 154,181.10 and 49,569.01

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Solution

The fourth proportional to 102,880.87, 154,181.10 and 49,569.01 is: 74,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,880.87 : 154,181.10 = 49,569.01 : x
  2. Step 2: Convert to fraction form
    102,880.87/154,181.10 = 49,569.01/x
  3. Step 3: Cross multiply
    102,880.87x = 154,181.10 × 49,569.01
  4. Step 4: Simplify right side
    102,880.87x = 7,642,604,487.71
  5. Step 5: Solve for x
    x = 7,642,604,487.71/102,880.87
  6. Step 6: Final answer
    x = 74,285.96

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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.