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Finding the Fourth Proportional to 133,113.38, 183,695.54 and 72,684

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Solution

The fourth proportional to 133,113.38, 183,695.54 and 72,684 is: 100,303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,113.38 : 183,695.54 = 72,684 : x
  2. Step 2: Convert to fraction form
    133,113.38/183,695.54 = 72,684/x
  3. Step 3: Cross multiply
    133,113.38x = 183,695.54 × 72,684
  4. Step 4: Simplify right side
    133,113.38x = 13,351,726,265.94
  5. Step 5: Solve for x
    x = 13,351,726,265.94/133,113.38
  6. Step 6: Final answer
    x = 100,303.42

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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.