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Finding the Fourth Proportional to 133,090.80, 183,696.12 and 76,534.80

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Solution

The fourth proportional to 133,090.80, 183,696.12 and 76,534.80 is: 105,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,090.80 : 183,696.12 = 76,534.80 : x
  2. Step 2: Convert to fraction form
    133,090.80/183,696.12 = 76,534.80/x
  3. Step 3: Cross multiply
    133,090.80x = 183,696.12 × 76,534.80
  4. Step 4: Simplify right side
    133,090.80x = 14,059,145,804.98
  5. Step 5: Solve for x
    x = 14,059,145,804.98/133,090.80
  6. Step 6: Final answer
    x = 105,635.74

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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.