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Finding the Fourth Proportional to 77,301.72, 106,891.11 and 61,358.49

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Solution

The fourth proportional to 77,301.72, 106,891.11 and 61,358.49 is: 84,845.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,301.72 : 106,891.11 = 61,358.49 : x
  2. Step 2: Convert to fraction form
    77,301.72/106,891.11 = 61,358.49/x
  3. Step 3: Cross multiply
    77,301.72x = 106,891.11 × 61,358.49
  4. Step 4: Simplify right side
    77,301.72x = 6,558,677,104.02
  5. Step 5: Solve for x
    x = 6,558,677,104.02/77,301.72
  6. Step 6: Final answer
    x = 84,845.16

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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.