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Finding the Fourth Proportional to 74,152.84, 102,333.54 and 40,618.84

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Solution

The fourth proportional to 74,152.84, 102,333.54 and 40,618.84 is: 56,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,152.84 : 102,333.54 = 40,618.84 : x
  2. Step 2: Convert to fraction form
    74,152.84/102,333.54 = 40,618.84/x
  3. Step 3: Cross multiply
    74,152.84x = 102,333.54 × 40,618.84
  4. Step 4: Simplify right side
    74,152.84x = 4,156,669,687.89
  5. Step 5: Solve for x
    x = 4,156,669,687.89/74,152.84
  6. Step 6: Final answer
    x = 56,055.43

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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.