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Finding the Fourth Proportional to 74,215.80, 102,415.86 and 40,222.80

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Solution

The fourth proportional to 74,215.80, 102,415.86 and 40,222.80 is: 55,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,215.80 : 102,415.86 = 40,222.80 : x
  2. Step 2: Convert to fraction form
    74,215.80/102,415.86 = 40,222.80/x
  3. Step 3: Cross multiply
    74,215.80x = 102,415.86 × 40,222.80
  4. Step 4: Simplify right side
    74,215.80x = 4,119,452,653.61
  5. Step 5: Solve for x
    x = 4,119,452,653.61/74,215.80
  6. Step 6: Final answer
    x = 55,506.41

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1.5x scale

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.