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Finding the Fourth Proportional to 77,305.70, 115,903.20 and 29,880.20

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Solution

The fourth proportional to 77,305.70, 115,903.20 and 29,880.20 is: 44,798.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,305.70 : 115,903.20 = 29,880.20 : x
  2. Step 2: Convert to fraction form
    77,305.70/115,903.20 = 29,880.20/x
  3. Step 3: Cross multiply
    77,305.70x = 115,903.20 × 29,880.20
  4. Step 4: Simplify right side
    77,305.70x = 3,463,210,796.64
  5. Step 5: Solve for x
    x = 3,463,210,796.64/77,305.70
  6. Step 6: Final answer
    x = 44,798.91

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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.