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Finding the Fourth Proportional to 78,183.82, 107,893.24 and 42,373.45

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Solution

The fourth proportional to 78,183.82, 107,893.24 and 42,373.45 is: 58,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,183.82 : 107,893.24 = 42,373.45 : x
  2. Step 2: Convert to fraction form
    78,183.82/107,893.24 = 42,373.45/x
  3. Step 3: Cross multiply
    78,183.82x = 107,893.24 × 42,373.45
  4. Step 4: Simplify right side
    78,183.82x = 4,571,808,810.48
  5. Step 5: Solve for x
    x = 4,571,808,810.48/78,183.82
  6. Step 6: Final answer
    x = 58,475.13

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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.