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Finding the Fourth Proportional to 133,107.58, 183,695.90 and 72,683.83

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Solution

The fourth proportional to 133,107.58, 183,695.90 and 72,683.83 is: 100,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,107.58 : 183,695.90 = 72,683.83 : x
  2. Step 2: Convert to fraction form
    133,107.58/183,695.90 = 72,683.83/x
  3. Step 3: Cross multiply
    133,107.58x = 183,695.90 × 72,683.83
  4. Step 4: Simplify right side
    133,107.58x = 13,351,721,842.34
  5. Step 5: Solve for x
    x = 13,351,721,842.34/133,107.58
  6. Step 6: Final answer
    x = 100,307.75

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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.