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Finding the Fourth Proportional to 70,420.24, 105,630.60 and 17,829.70

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Solution

The fourth proportional to 70,420.24, 105,630.60 and 17,829.70 is: 26,744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,420.24 : 105,630.60 = 17,829.70 : x
  2. Step 2: Convert to fraction form
    70,420.24/105,630.60 = 17,829.70/x
  3. Step 3: Cross multiply
    70,420.24x = 105,630.60 × 17,829.70
  4. Step 4: Simplify right side
    70,420.24x = 1,883,361,908.82
  5. Step 5: Solve for x
    x = 1,883,361,908.82/70,420.24
  6. Step 6: Final answer
    x = 26,744.61

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1.5x scale

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.