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Finding the Fourth Proportional to 104,223.48, 143,828.04 and 56,478

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Solution

The fourth proportional to 104,223.48, 143,828.04 and 56,478 is: 77,939.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,223.48 : 143,828.04 = 56,478 : x
  2. Step 2: Convert to fraction form
    104,223.48/143,828.04 = 56,478/x
  3. Step 3: Cross multiply
    104,223.48x = 143,828.04 × 56,478
  4. Step 4: Simplify right side
    104,223.48x = 8,123,120,043.12
  5. Step 5: Solve for x
    x = 8,123,120,043.12/104,223.48
  6. Step 6: Final answer
    x = 77,939.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.