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Finding the Fourth Proportional to 133,029.68, 183,532.82 and 102,412.13

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Solution

The fourth proportional to 133,029.68, 183,532.82 and 102,412.13 is: 141,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,029.68 : 183,532.82 = 102,412.13 : x
  2. Step 2: Convert to fraction form
    133,029.68/183,532.82 = 102,412.13/x
  3. Step 3: Cross multiply
    133,029.68x = 183,532.82 × 102,412.13
  4. Step 4: Simplify right side
    133,029.68x = 18,795,985,591.38
  5. Step 5: Solve for x
    x = 18,795,985,591.38/133,029.68
  6. Step 6: Final answer
    x = 141,291.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.