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Finding the Fourth Proportional to 74,548.81, 102,878.81 and 40,558.11

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Solution

The fourth proportional to 74,548.81, 102,878.81 and 40,558.11 is: 55,970.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,548.81 : 102,878.81 = 40,558.11 : x
  2. Step 2: Convert to fraction form
    74,548.81/102,878.81 = 40,558.11/x
  3. Step 3: Cross multiply
    74,548.81x = 102,878.81 × 40,558.11
  4. Step 4: Simplify right side
    74,548.81x = 4,172,570,092.65
  5. Step 5: Solve for x
    x = 4,172,570,092.65/74,548.81
  6. Step 6: Final answer
    x = 55,970.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.