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Finding the Fourth Proportional to 145,583.87, 218,375.87 and 83,210.63

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Solution

The fourth proportional to 145,583.87, 218,375.87 and 83,210.63 is: 124,815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,583.87 : 218,375.87 = 83,210.63 : x
  2. Step 2: Convert to fraction form
    145,583.87/218,375.87 = 83,210.63/x
  3. Step 3: Cross multiply
    145,583.87x = 218,375.87 × 83,210.63
  4. Step 4: Simplify right side
    145,583.87x = 18,171,192,211.57
  5. Step 5: Solve for x
    x = 18,171,192,211.57/145,583.87
  6. Step 6: Final answer
    x = 124,815.98

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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.