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Finding the Fourth Proportional to 133,070.76, 183,642.09 and 72,645.03

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Solution

The fourth proportional to 133,070.76, 183,642.09 and 72,645.03 is: 100,252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,070.76 : 183,642.09 = 72,645.03 : x
  2. Step 2: Convert to fraction form
    133,070.76/183,642.09 = 72,645.03/x
  3. Step 3: Cross multiply
    133,070.76x = 183,642.09 × 72,645.03
  4. Step 4: Simplify right side
    133,070.76x = 13,340,685,137.31
  5. Step 5: Solve for x
    x = 13,340,685,137.31/133,070.76
  6. Step 6: Final answer
    x = 100,252.57

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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.