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Finding the Fourth Proportional to 135,089.64, 202,693.86 and 71,894.88

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Solution

The fourth proportional to 135,089.64, 202,693.86 and 71,894.88 is: 107,873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,089.64 : 202,693.86 = 71,894.88 : x
  2. Step 2: Convert to fraction form
    135,089.64/202,693.86 = 71,894.88/x
  3. Step 3: Cross multiply
    135,089.64x = 202,693.86 × 71,894.88
  4. Step 4: Simplify right side
    135,089.64x = 14,572,650,741.44
  5. Step 5: Solve for x
    x = 14,572,650,741.44/135,089.64
  6. Step 6: Final answer
    x = 107,873.93

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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.