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Finding the Fourth Proportional to 77,102.36, 115,574.76 and 43,752

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Solution

The fourth proportional to 77,102.36, 115,574.76 and 43,752 is: 65,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,102.36 : 115,574.76 = 43,752 : x
  2. Step 2: Convert to fraction form
    77,102.36/115,574.76 = 43,752/x
  3. Step 3: Cross multiply
    77,102.36x = 115,574.76 × 43,752
  4. Step 4: Simplify right side
    77,102.36x = 5,056,626,899.52
  5. Step 5: Solve for x
    x = 5,056,626,899.52/77,102.36
  6. Step 6: Final answer
    x = 65,583.30

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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.