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Finding the Fourth Proportional to 133,211.32, 183,829.48 and 72,780.67

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Solution

The fourth proportional to 133,211.32, 183,829.48 and 72,780.67 is: 100,436.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,211.32 : 183,829.48 = 72,780.67 : x
  2. Step 2: Convert to fraction form
    133,211.32/183,829.48 = 72,780.67/x
  3. Step 3: Cross multiply
    133,211.32x = 183,829.48 × 72,780.67
  4. Step 4: Simplify right side
    133,211.32x = 13,379,232,603.78
  5. Step 5: Solve for x
    x = 13,379,232,603.78/133,211.32
  6. Step 6: Final answer
    x = 100,436.15

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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.