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Finding the Fourth Proportional to 133,302.56, 183,957.64 and 76,713.92

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Solution

The fourth proportional to 133,302.56, 183,957.64 and 76,713.92 is: 105,865.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,302.56 : 183,957.64 = 76,713.92 : x
  2. Step 2: Convert to fraction form
    133,302.56/183,957.64 = 76,713.92/x
  3. Step 3: Cross multiply
    133,302.56x = 183,957.64 × 76,713.92
  4. Step 4: Simplify right side
    133,302.56x = 14,112,111,678.35
  5. Step 5: Solve for x
    x = 14,112,111,678.35/133,302.56
  6. Step 6: Final answer
    x = 105,865.27

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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.