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Finding the Fourth Proportional to 74,408.69, 102,685.82 and 40,416.80

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Solution

The fourth proportional to 74,408.69, 102,685.82 and 40,416.80 is: 55,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,408.69 : 102,685.82 = 40,416.80 : x
  2. Step 2: Convert to fraction form
    74,408.69/102,685.82 = 40,416.80/x
  3. Step 3: Cross multiply
    74,408.69x = 102,685.82 × 40,416.80
  4. Step 4: Simplify right side
    74,408.69x = 4,150,231,534.26
  5. Step 5: Solve for x
    x = 4,150,231,534.26/74,408.69
  6. Step 6: Final answer
    x = 55,776.17

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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.