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Finding the Fourth Proportional to 218,652.57, 301,741.61 and 123,160.77

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Solution

The fourth proportional to 218,652.57, 301,741.61 and 123,160.77 is: 169,962.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,652.57 : 301,741.61 = 123,160.77 : x
  2. Step 2: Convert to fraction form
    218,652.57/301,741.61 = 123,160.77/x
  3. Step 3: Cross multiply
    218,652.57x = 301,741.61 × 123,160.77
  4. Step 4: Simplify right side
    218,652.57x = 37,162,728,412.84
  5. Step 5: Solve for x
    x = 37,162,728,412.84/218,652.57
  6. Step 6: Final answer
    x = 169,962.46

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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.