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Finding the Fourth Proportional to 133,020.72, 183,570.84 and 75,658.68

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Solution

The fourth proportional to 133,020.72, 183,570.84 and 75,658.68 is: 104,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,020.72 : 183,570.84 = 75,658.68 : x
  2. Step 2: Convert to fraction form
    133,020.72/183,570.84 = 75,658.68/x
  3. Step 3: Cross multiply
    133,020.72x = 183,570.84 × 75,658.68
  4. Step 4: Simplify right side
    133,020.72x = 13,888,727,440.89
  5. Step 5: Solve for x
    x = 13,888,727,440.89/133,020.72
  6. Step 6: Final answer
    x = 104,410.26

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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.