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Finding the Fourth Proportional to 120,842.56, 181,282.28 and 61,645.93

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Solution

The fourth proportional to 120,842.56, 181,282.28 and 61,645.93 is: 92,478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,842.56 : 181,282.28 = 61,645.93 : x
  2. Step 2: Convert to fraction form
    120,842.56/181,282.28 = 61,645.93/x
  3. Step 3: Cross multiply
    120,842.56x = 181,282.28 × 61,645.93
  4. Step 4: Simplify right side
    120,842.56x = 11,175,314,743.12
  5. Step 5: Solve for x
    x = 11,175,314,743.12/120,842.56
  6. Step 6: Final answer
    x = 92,478.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.