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Finding the Fourth Proportional to 49,898.65, 74,880.10 and 19,907.77

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Solution

The fourth proportional to 49,898.65, 74,880.10 and 19,907.77 is: 29,874.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,898.65 : 74,880.10 = 19,907.77 : x
  2. Step 2: Convert to fraction form
    49,898.65/74,880.10 = 19,907.77/x
  3. Step 3: Cross multiply
    49,898.65x = 74,880.10 × 19,907.77
  4. Step 4: Simplify right side
    49,898.65x = 1,490,695,808.38
  5. Step 5: Solve for x
    x = 1,490,695,808.38/49,898.65
  6. Step 6: Final answer
    x = 29,874.47

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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.