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Finding the Fourth Proportional to 70,135.21, 105,216.54 and 25,762.31

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Solution

The fourth proportional to 70,135.21, 105,216.54 and 25,762.31 is: 38,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,135.21 : 105,216.54 = 25,762.31 : x
  2. Step 2: Convert to fraction form
    70,135.21/105,216.54 = 25,762.31/x
  3. Step 3: Cross multiply
    70,135.21x = 105,216.54 × 25,762.31
  4. Step 4: Simplify right side
    70,135.21x = 2,710,621,120.61
  5. Step 5: Solve for x
    x = 2,710,621,120.61/70,135.21
  6. Step 6: Final answer
    x = 38,648.51

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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.