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Finding the Fourth Proportional to 74,462.40, 102,756.96 and 40,927.68

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Solution

The fourth proportional to 74,462.40, 102,756.96 and 40,927.68 is: 56,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,462.40 : 102,756.96 = 40,927.68 : x
  2. Step 2: Convert to fraction form
    74,462.40/102,756.96 = 40,927.68/x
  3. Step 3: Cross multiply
    74,462.40x = 102,756.96 × 40,927.68
  4. Step 4: Simplify right side
    74,462.40x = 4,205,603,976.65
  5. Step 5: Solve for x
    x = 4,205,603,976.65/74,462.40
  6. Step 6: Final answer
    x = 56,479.57

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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.