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Finding the Fourth Proportional to 53,684.40, 80,429.40 and 45,908.40

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Solution

The fourth proportional to 53,684.40, 80,429.40 and 45,908.40 is: 68,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,684.40 : 80,429.40 = 45,908.40 : x
  2. Step 2: Convert to fraction form
    53,684.40/80,429.40 = 45,908.40/x
  3. Step 3: Cross multiply
    53,684.40x = 80,429.40 × 45,908.40
  4. Step 4: Simplify right side
    53,684.40x = 3,692,385,066.96
  5. Step 5: Solve for x
    x = 3,692,385,066.96/53,684.40
  6. Step 6: Final answer
    x = 68,779.48

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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.