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Finding the Fourth Proportional to 98,489.76, 135,900.04 and 56,049

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Solution

The fourth proportional to 98,489.76, 135,900.04 and 56,049 is: 77,338.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,489.76 : 135,900.04 = 56,049 : x
  2. Step 2: Convert to fraction form
    98,489.76/135,900.04 = 56,049/x
  3. Step 3: Cross multiply
    98,489.76x = 135,900.04 × 56,049
  4. Step 4: Simplify right side
    98,489.76x = 7,617,061,341.96
  5. Step 5: Solve for x
    x = 7,617,061,341.96/98,489.76
  6. Step 6: Final answer
    x = 77,338.61

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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.