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Finding the Fourth Proportional to 70,230.95, 105,288.71 and 32,772.50

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Solution

The fourth proportional to 70,230.95, 105,288.71 and 32,772.50 is: 49,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,230.95 : 105,288.71 = 32,772.50 : x
  2. Step 2: Convert to fraction form
    70,230.95/105,288.71 = 32,772.50/x
  3. Step 3: Cross multiply
    70,230.95x = 105,288.71 × 32,772.50
  4. Step 4: Simplify right side
    70,230.95x = 3,450,574,137.35
  5. Step 5: Solve for x
    x = 3,450,574,137.35/70,230.95
  6. Step 6: Final answer
    x = 49,131.82

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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.