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Finding the Fourth Proportional to 74,389.56, 102,658.32 and 40,855.56

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Solution

The fourth proportional to 74,389.56, 102,658.32 and 40,855.56 is: 56,381.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,389.56 : 102,658.32 = 40,855.56 : x
  2. Step 2: Convert to fraction form
    74,389.56/102,658.32 = 40,855.56/x
  3. Step 3: Cross multiply
    74,389.56x = 102,658.32 × 40,855.56
  4. Step 4: Simplify right side
    74,389.56x = 4,194,163,152.26
  5. Step 5: Solve for x
    x = 4,194,163,152.26/74,389.56
  6. Step 6: Final answer
    x = 56,381.07

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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.