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Finding the Fourth Proportional to 77,115, 106,418.88 and 43,581

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Solution

The fourth proportional to 77,115, 106,418.88 and 43,581 is: 60,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,115 : 106,418.88 = 43,581 : x
  2. Step 2: Convert to fraction form
    77,115/106,418.88 = 43,581/x
  3. Step 3: Cross multiply
    77,115x = 106,418.88 × 43,581
  4. Step 4: Simplify right side
    77,115x = 4,637,841,209.28
  5. Step 5: Solve for x
    x = 4,637,841,209.28/77,115
  6. Step 6: Final answer
    x = 60,141.88

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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.