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Finding the Fourth Proportional to 96,408, 133,035.75 and 53,387.28

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Solution

The fourth proportional to 96,408, 133,035.75 and 53,387.28 is: 73,670.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,408 : 133,035.75 = 53,387.28 : x
  2. Step 2: Convert to fraction form
    96,408/133,035.75 = 53,387.28/x
  3. Step 3: Cross multiply
    96,408x = 133,035.75 × 53,387.28
  4. Step 4: Simplify right side
    96,408x = 7,102,416,835.26
  5. Step 5: Solve for x
    x = 7,102,416,835.26/96,408
  6. Step 6: Final answer
    x = 73,670.41

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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.