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Finding the Fourth Proportional to 133,146.76, 183,743.78 and 75,783.28

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Solution

The fourth proportional to 133,146.76, 183,743.78 and 75,783.28 is: 104,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,146.76 : 183,743.78 = 75,783.28 : x
  2. Step 2: Convert to fraction form
    133,146.76/183,743.78 = 75,783.28/x
  3. Step 3: Cross multiply
    133,146.76x = 183,743.78 × 75,783.28
  4. Step 4: Simplify right side
    133,146.76x = 13,924,706,328.00
  5. Step 5: Solve for x
    x = 13,924,706,328.00/133,146.76
  6. Step 6: Final answer
    x = 104,581.64

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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.