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Finding the Fourth Proportional to 70,124.86, 105,109.38 and 53,429.85

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Solution

The fourth proportional to 70,124.86, 105,109.38 and 53,429.85 is: 80,085.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,124.86 : 105,109.38 = 53,429.85 : x
  2. Step 2: Convert to fraction form
    70,124.86/105,109.38 = 53,429.85/x
  3. Step 3: Cross multiply
    70,124.86x = 105,109.38 × 53,429.85
  4. Step 4: Simplify right side
    70,124.86x = 5,615,978,406.99
  5. Step 5: Solve for x
    x = 5,615,978,406.99/70,124.86
  6. Step 6: Final answer
    x = 80,085.41

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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.