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Finding the Fourth Proportional to 191,442.56, 287,163.77 and 51,197.54

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Solution

The fourth proportional to 191,442.56, 287,163.77 and 51,197.54 is: 76,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,442.56 : 287,163.77 = 51,197.54 : x
  2. Step 2: Convert to fraction form
    191,442.56/287,163.77 = 51,197.54/x
  3. Step 3: Cross multiply
    191,442.56x = 287,163.77 × 51,197.54
  4. Step 4: Simplify right side
    191,442.56x = 14,702,076,909.32
  5. Step 5: Solve for x
    x = 14,702,076,909.32/191,442.56
  6. Step 6: Final answer
    x = 76,796.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.