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Finding the Fourth Proportional to 108,178.70, 149,285.78 and 59,783.88

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Solution

The fourth proportional to 108,178.70, 149,285.78 and 59,783.88 is: 82,501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,178.70 : 149,285.78 = 59,783.88 : x
  2. Step 2: Convert to fraction form
    108,178.70/149,285.78 = 59,783.88/x
  3. Step 3: Cross multiply
    108,178.70x = 149,285.78 × 59,783.88
  4. Step 4: Simplify right side
    108,178.70x = 8,924,883,157.23
  5. Step 5: Solve for x
    x = 8,924,883,157.23/108,178.70
  6. Step 6: Final answer
    x = 82,501.30

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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.