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Finding the Fourth Proportional to 77,116, 106,420.26 and 43,582

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Solution

The fourth proportional to 77,116, 106,420.26 and 43,582 is: 60,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,116 : 106,420.26 = 43,582 : x
  2. Step 2: Convert to fraction form
    77,116/106,420.26 = 43,582/x
  3. Step 3: Cross multiply
    77,116x = 106,420.26 × 43,582
  4. Step 4: Simplify right side
    77,116x = 4,638,007,771.32
  5. Step 5: Solve for x
    x = 4,638,007,771.32/77,116
  6. Step 6: Final answer
    x = 60,143.26

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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.