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Finding the Fourth Proportional to 109,429.70, 164,144.55 and 56,941.70

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Solution

The fourth proportional to 109,429.70, 164,144.55 and 56,941.70 is: 85,412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,429.70 : 164,144.55 = 56,941.70 : x
  2. Step 2: Convert to fraction form
    109,429.70/164,144.55 = 56,941.70/x
  3. Step 3: Cross multiply
    109,429.70x = 164,144.55 × 56,941.70
  4. Step 4: Simplify right side
    109,429.70x = 9,346,669,722.74
  5. Step 5: Solve for x
    x = 9,346,669,722.74/109,429.70
  6. Step 6: Final answer
    x = 85,412.55

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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.