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Finding the Fourth Proportional to 70,149.52, 105,212.94 and 25,765.30

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Solution

The fourth proportional to 70,149.52, 105,212.94 and 25,765.30 is: 38,643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,149.52 : 105,212.94 = 25,765.30 : x
  2. Step 2: Convert to fraction form
    70,149.52/105,212.94 = 25,765.30/x
  3. Step 3: Cross multiply
    70,149.52x = 105,212.94 × 25,765.30
  4. Step 4: Simplify right side
    70,149.52x = 2,710,842,962.98
  5. Step 5: Solve for x
    x = 2,710,842,962.98/70,149.52
  6. Step 6: Final answer
    x = 38,643.78

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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.