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Finding the Fourth Proportional to 109,381.49, 164,663.13 and 98,383.31

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Solution

The fourth proportional to 109,381.49, 164,663.13 and 98,383.31 is: 148,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,381.49 : 164,663.13 = 98,383.31 : x
  2. Step 2: Convert to fraction form
    109,381.49/164,663.13 = 98,383.31/x
  3. Step 3: Cross multiply
    109,381.49x = 164,663.13 × 98,383.31
  4. Step 4: Simplify right side
    109,381.49x = 16,200,103,764.36
  5. Step 5: Solve for x
    x = 16,200,103,764.36/109,381.49
  6. Step 6: Final answer
    x = 148,106.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.