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Finding the Fourth Proportional to 133,145.76, 183,742.40 and 75,782.28

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Solution

The fourth proportional to 133,145.76, 183,742.40 and 75,782.28 is: 104,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,145.76 : 183,742.40 = 75,782.28 : x
  2. Step 2: Convert to fraction form
    133,145.76/183,742.40 = 75,782.28/x
  3. Step 3: Cross multiply
    133,145.76x = 183,742.40 × 75,782.28
  4. Step 4: Simplify right side
    133,145.76x = 13,924,418,004.67
  5. Step 5: Solve for x
    x = 13,924,418,004.67/133,145.76
  6. Step 6: Final answer
    x = 104,580.26

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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.