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Finding the Fourth Proportional to 133,111.94, 183,695.36 and 72,683

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Solution

The fourth proportional to 133,111.94, 183,695.36 and 72,683 is: 100,303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,111.94 : 183,695.36 = 72,683 : x
  2. Step 2: Convert to fraction form
    133,111.94/183,695.36 = 72,683/x
  3. Step 3: Cross multiply
    133,111.94x = 183,695.36 × 72,683
  4. Step 4: Simplify right side
    133,111.94x = 13,351,529,850.88
  5. Step 5: Solve for x
    x = 13,351,529,850.88/133,111.94
  6. Step 6: Final answer
    x = 100,303.02

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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.