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Finding the Fourth Proportional to 104,138.42, 143,711.70 and 56,391.78

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Solution

The fourth proportional to 104,138.42, 143,711.70 and 56,391.78 is: 77,821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,138.42 : 143,711.70 = 56,391.78 : x
  2. Step 2: Convert to fraction form
    104,138.42/143,711.70 = 56,391.78/x
  3. Step 3: Cross multiply
    104,138.42x = 143,711.70 × 56,391.78
  4. Step 4: Simplify right side
    104,138.42x = 8,104,158,569.83
  5. Step 5: Solve for x
    x = 8,104,158,569.83/104,138.42
  6. Step 6: Final answer
    x = 77,821.02

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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.