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Finding the Fourth Proportional to 102,056.90, 140,838.09 and 57,344.90

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Solution

The fourth proportional to 102,056.90, 140,838.09 and 57,344.90 is: 79,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,056.90 : 140,838.09 = 57,344.90 : x
  2. Step 2: Convert to fraction form
    102,056.90/140,838.09 = 57,344.90/x
  3. Step 3: Cross multiply
    102,056.90x = 140,838.09 × 57,344.90
  4. Step 4: Simplify right side
    102,056.90x = 8,076,346,187.24
  5. Step 5: Solve for x
    x = 8,076,346,187.24/102,056.90
  6. Step 6: Final answer
    x = 79,135.72

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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.