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Finding the Fourth Proportional to 133,144.36, 183,740.46 and 75,780.87

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Solution

The fourth proportional to 133,144.36, 183,740.46 and 75,780.87 is: 104,578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,144.36 : 183,740.46 = 75,780.87 : x
  2. Step 2: Convert to fraction form
    133,144.36/183,740.46 = 75,780.87/x
  3. Step 3: Cross multiply
    133,144.36x = 183,740.46 × 75,780.87
  4. Step 4: Simplify right side
    133,144.36x = 13,924,011,913.00
  5. Step 5: Solve for x
    x = 13,924,011,913.00/133,144.36
  6. Step 6: Final answer
    x = 104,578.31

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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.