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Finding the Fourth Proportional to 451,712.05, 677,564.88 and 114,753.67

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Solution

The fourth proportional to 451,712.05, 677,564.88 and 114,753.67 is: 172,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,712.05 : 677,564.88 = 114,753.67 : x
  2. Step 2: Convert to fraction form
    451,712.05/677,564.88 = 114,753.67/x
  3. Step 3: Cross multiply
    451,712.05x = 677,564.88 × 114,753.67
  4. Step 4: Simplify right side
    451,712.05x = 77,753,056,643.11
  5. Step 5: Solve for x
    x = 77,753,056,643.11/451,712.05
  6. Step 6: Final answer
    x = 172,129.69

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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.