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Finding the Fourth Proportional to 133,097.67, 183,675.74 and 72,669.51

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Solution

The fourth proportional to 133,097.67, 183,675.74 and 72,669.51 is: 100,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,097.67 : 183,675.74 = 72,669.51 : x
  2. Step 2: Convert to fraction form
    133,097.67/183,675.74 = 72,669.51/x
  3. Step 3: Cross multiply
    133,097.67x = 183,675.74 × 72,669.51
  4. Step 4: Simplify right side
    133,097.67x = 13,347,625,661.34
  5. Step 5: Solve for x
    x = 13,347,625,661.34/133,097.67
  6. Step 6: Final answer
    x = 100,284.44

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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.