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Finding the Fourth Proportional to 77,102.76, 106,399.65 and 43,111.29

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Solution

The fourth proportional to 77,102.76, 106,399.65 and 43,111.29 is: 59,492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,102.76 : 106,399.65 = 43,111.29 : x
  2. Step 2: Convert to fraction form
    77,102.76/106,399.65 = 43,111.29/x
  3. Step 3: Cross multiply
    77,102.76x = 106,399.65 × 43,111.29
  4. Step 4: Simplify right side
    77,102.76x = 4,587,026,167.05
  5. Step 5: Solve for x
    x = 4,587,026,167.05/77,102.76
  6. Step 6: Final answer
    x = 59,492.37

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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.