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Finding the Fourth Proportional to 104,996.86, 157,339.71 and 86,408.98

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Solution

The fourth proportional to 104,996.86, 157,339.71 and 86,408.98 is: 129,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,996.86 : 157,339.71 = 86,408.98 : x
  2. Step 2: Convert to fraction form
    104,996.86/157,339.71 = 86,408.98/x
  3. Step 3: Cross multiply
    104,996.86x = 157,339.71 × 86,408.98
  4. Step 4: Simplify right side
    104,996.86x = 13,595,563,854.60
  5. Step 5: Solve for x
    x = 13,595,563,854.60/104,996.86
  6. Step 6: Final answer
    x = 129,485.43

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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.