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Finding the Fourth Proportional to 74,244, 102,461.61 and 40,710

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Solution

The fourth proportional to 74,244, 102,461.61 and 40,710 is: 56,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,244 : 102,461.61 = 40,710 : x
  2. Step 2: Convert to fraction form
    74,244/102,461.61 = 40,710/x
  3. Step 3: Cross multiply
    74,244x = 102,461.61 × 40,710
  4. Step 4: Simplify right side
    74,244x = 4,171,212,143.10
  5. Step 5: Solve for x
    x = 4,171,212,143.10/74,244
  6. Step 6: Final answer
    x = 56,182.48

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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.