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Finding the Fourth Proportional to 345,768.56, 518,652.84 and 109,129.76

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Solution

The fourth proportional to 345,768.56, 518,652.84 and 109,129.76 is: 163,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,768.56 : 518,652.84 = 109,129.76 : x
  2. Step 2: Convert to fraction form
    345,768.56/518,652.84 = 109,129.76/x
  3. Step 3: Cross multiply
    345,768.56x = 518,652.84 × 109,129.76
  4. Step 4: Simplify right side
    345,768.56x = 56,600,459,952.52
  5. Step 5: Solve for x
    x = 56,600,459,952.52/345,768.56
  6. Step 6: Final answer
    x = 163,694.64

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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.