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Finding the Fourth Proportional to 70,628.16, 105,865.92 and 25,619.52

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Solution

The fourth proportional to 70,628.16, 105,865.92 and 25,619.52 is: 38,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,628.16 : 105,865.92 = 25,619.52 : x
  2. Step 2: Convert to fraction form
    70,628.16/105,865.92 = 25,619.52/x
  3. Step 3: Cross multiply
    70,628.16x = 105,865.92 × 25,619.52
  4. Step 4: Simplify right side
    70,628.16x = 2,712,234,054.76
  5. Step 5: Solve for x
    x = 2,712,234,054.76/70,628.16
  6. Step 6: Final answer
    x = 38,401.60

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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.