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Finding the Fourth Proportional to 107,696.88, 148,638.41 and 64,700.31

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Solution

The fourth proportional to 107,696.88, 148,638.41 and 64,700.31 is: 89,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,696.88 : 148,638.41 = 64,700.31 : x
  2. Step 2: Convert to fraction form
    107,696.88/148,638.41 = 64,700.31/x
  3. Step 3: Cross multiply
    107,696.88x = 148,638.41 × 64,700.31
  4. Step 4: Simplify right side
    107,696.88x = 9,616,950,138.21
  5. Step 5: Solve for x
    x = 9,616,950,138.21/107,696.88
  6. Step 6: Final answer
    x = 89,296.46

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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.