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Finding the Fourth Proportional to 80,730.68, 111,423.75 and 53,458.68

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Solution

The fourth proportional to 80,730.68, 111,423.75 and 53,458.68 is: 73,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,730.68 : 111,423.75 = 53,458.68 : x
  2. Step 2: Convert to fraction form
    80,730.68/111,423.75 = 53,458.68/x
  3. Step 3: Cross multiply
    80,730.68x = 111,423.75 × 53,458.68
  4. Step 4: Simplify right side
    80,730.68x = 5,956,567,113.72
  5. Step 5: Solve for x
    x = 5,956,567,113.72/80,730.68
  6. Step 6: Final answer
    x = 73,783.19

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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.