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Finding the Fourth Proportional to 77,025, 115,203.96 and 45,359.58

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Solution

The fourth proportional to 77,025, 115,203.96 and 45,359.58 is: 67,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,025 : 115,203.96 = 45,359.58 : x
  2. Step 2: Convert to fraction form
    77,025/115,203.96 = 45,359.58/x
  3. Step 3: Cross multiply
    77,025x = 115,203.96 × 45,359.58
  4. Step 4: Simplify right side
    77,025x = 5,225,603,239.94
  5. Step 5: Solve for x
    x = 5,225,603,239.94/77,025
  6. Step 6: Final answer
    x = 67,842.95

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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.