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Finding the Fourth Proportional to 105,740, 145,921.20 and 58,636

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Solution

The fourth proportional to 105,740, 145,921.20 and 58,636 is: 80,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,740 : 145,921.20 = 58,636 : x
  2. Step 2: Convert to fraction form
    105,740/145,921.20 = 58,636/x
  3. Step 3: Cross multiply
    105,740x = 145,921.20 × 58,636
  4. Step 4: Simplify right side
    105,740x = 8,556,235,483.20
  5. Step 5: Solve for x
    x = 8,556,235,483.20/105,740
  6. Step 6: Final answer
    x = 80,917.68

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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.