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Finding the Fourth Proportional to 74,381.40, 102,646.22 and 40,847.40

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Solution

The fourth proportional to 74,381.40, 102,646.22 and 40,847.40 is: 56,369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,381.40 : 102,646.22 = 40,847.40 : x
  2. Step 2: Convert to fraction form
    74,381.40/102,646.22 = 40,847.40/x
  3. Step 3: Cross multiply
    74,381.40x = 102,646.22 × 40,847.40
  4. Step 4: Simplify right side
    74,381.40x = 4,192,831,002.59
  5. Step 5: Solve for x
    x = 4,192,831,002.59/74,381.40
  6. Step 6: Final answer
    x = 56,369.35

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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.