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Finding the Fourth Proportional to 110,919, 153,014.70 and 72,661.86

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Solution

The fourth proportional to 110,919, 153,014.70 and 72,661.86 is: 100,238.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,919 : 153,014.70 = 72,661.86 : x
  2. Step 2: Convert to fraction form
    110,919/153,014.70 = 72,661.86/x
  3. Step 3: Cross multiply
    110,919x = 153,014.70 × 72,661.86
  4. Step 4: Simplify right side
    110,919x = 11,118,332,709.34
  5. Step 5: Solve for x
    x = 11,118,332,709.34/110,919
  6. Step 6: Final answer
    x = 100,238.31

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1.5x scale

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.