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Finding the Fourth Proportional to 109,647.80, 164,477.10 and 57,159.80

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Solution

The fourth proportional to 109,647.80, 164,477.10 and 57,159.80 is: 85,742.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,647.80 : 164,477.10 = 57,159.80 : x
  2. Step 2: Convert to fraction form
    109,647.80/164,477.10 = 57,159.80/x
  3. Step 3: Cross multiply
    109,647.80x = 164,477.10 × 57,159.80
  4. Step 4: Simplify right side
    109,647.80x = 9,401,478,140.58
  5. Step 5: Solve for x
    x = 9,401,478,140.58/109,647.80
  6. Step 6: Final answer
    x = 85,742.52

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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.