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Finding the Fourth Proportional to 102,453.54, 153,738.63 and 67,409.70

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Solution

The fourth proportional to 102,453.54, 153,738.63 and 67,409.70 is: 101,152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,453.54 : 153,738.63 = 67,409.70 : x
  2. Step 2: Convert to fraction form
    102,453.54/153,738.63 = 67,409.70/x
  3. Step 3: Cross multiply
    102,453.54x = 153,738.63 × 67,409.70
  4. Step 4: Simplify right side
    102,453.54x = 10,363,474,926.71
  5. Step 5: Solve for x
    x = 10,363,474,926.71/102,453.54
  6. Step 6: Final answer
    x = 101,152.92

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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.