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Finding the Fourth Proportional to 53,465.60, 80,207.08 and 20,188.58

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Solution

The fourth proportional to 53,465.60, 80,207.08 and 20,188.58 is: 30,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,465.60 : 80,207.08 = 20,188.58 : x
  2. Step 2: Convert to fraction form
    53,465.60/80,207.08 = 20,188.58/x
  3. Step 3: Cross multiply
    53,465.60x = 80,207.08 × 20,188.58
  4. Step 4: Simplify right side
    53,465.60x = 1,619,266,599.64
  5. Step 5: Solve for x
    x = 1,619,266,599.64/53,465.60
  6. Step 6: Final answer
    x = 30,286.14

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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.