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Finding the Fourth Proportional to 102,056.40, 140,837.40 and 57,344.40

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Solution

The fourth proportional to 102,056.40, 140,837.40 and 57,344.40 is: 79,135.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,056.40 : 140,837.40 = 57,344.40 : x
  2. Step 2: Convert to fraction form
    102,056.40/140,837.40 = 57,344.40/x
  3. Step 3: Cross multiply
    102,056.40x = 140,837.40 × 57,344.40
  4. Step 4: Simplify right side
    102,056.40x = 8,076,236,200.56
  5. Step 5: Solve for x
    x = 8,076,236,200.56/102,056.40
  6. Step 6: Final answer
    x = 79,135.03

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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.