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Finding the Fourth Proportional to 104,163, 143,745.50 and 56,416.48

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Solution

The fourth proportional to 104,163, 143,745.50 and 56,416.48 is: 77,855.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,163 : 143,745.50 = 56,416.48 : x
  2. Step 2: Convert to fraction form
    104,163/143,745.50 = 56,416.48/x
  3. Step 3: Cross multiply
    104,163x = 143,745.50 × 56,416.48
  4. Step 4: Simplify right side
    104,163x = 8,109,615,125.84
  5. Step 5: Solve for x
    x = 8,109,615,125.84/104,163
  6. Step 6: Final answer
    x = 77,855.05

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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.