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Finding the Fourth Proportional to 120,184.65, 165,848.09 and 65,726.08

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Solution

The fourth proportional to 120,184.65, 165,848.09 and 65,726.08 is: 90,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,184.65 : 165,848.09 = 65,726.08 : x
  2. Step 2: Convert to fraction form
    120,184.65/165,848.09 = 65,726.08/x
  3. Step 3: Cross multiply
    120,184.65x = 165,848.09 × 65,726.08
  4. Step 4: Simplify right side
    120,184.65x = 10,900,544,087.94
  5. Step 5: Solve for x
    x = 10,900,544,087.94/120,184.65
  6. Step 6: Final answer
    x = 90,698.31

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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.