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Finding the Fourth Proportional to 74,232.32, 102,440 and 40,698.24

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Solution

The fourth proportional to 74,232.32, 102,440 and 40,698.24 is: 56,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,232.32 : 102,440 = 40,698.24 : x
  2. Step 2: Convert to fraction form
    74,232.32/102,440 = 40,698.24/x
  3. Step 3: Cross multiply
    74,232.32x = 102,440 × 40,698.24
  4. Step 4: Simplify right side
    74,232.32x = 4,169,127,705.60
  5. Step 5: Solve for x
    x = 4,169,127,705.60/74,232.32
  6. Step 6: Final answer
    x = 56,163.24

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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.