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Finding the Fourth Proportional to 49,987.98, 74,980.08 and 12,548.34

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Solution

The fourth proportional to 49,987.98, 74,980.08 and 12,548.34 is: 18,822.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,987.98 : 74,980.08 = 12,548.34 : x
  2. Step 2: Convert to fraction form
    49,987.98/74,980.08 = 12,548.34/x
  3. Step 3: Cross multiply
    49,987.98x = 74,980.08 × 12,548.34
  4. Step 4: Simplify right side
    49,987.98x = 940,875,537.07
  5. Step 5: Solve for x
    x = 940,875,537.07/49,987.98
  6. Step 6: Final answer
    x = 18,822.04

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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.