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Finding the Fourth Proportional to 106,930, 147,393.40 and 84,233.08

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Solution

The fourth proportional to 106,930, 147,393.40 and 84,233.08 is: 116,107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,930 : 147,393.40 = 84,233.08 : x
  2. Step 2: Convert to fraction form
    106,930/147,393.40 = 84,233.08/x
  3. Step 3: Cross multiply
    106,930x = 147,393.40 × 84,233.08
  4. Step 4: Simplify right side
    106,930x = 12,415,400,053.67
  5. Step 5: Solve for x
    x = 12,415,400,053.67/106,930
  6. Step 6: Final answer
    x = 116,107.73

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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.