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Finding the Fourth Proportional to 89,307, 133,920.36 and 64,242

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Solution

The fourth proportional to 89,307, 133,920.36 and 64,242 is: 96,334.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,307 : 133,920.36 = 64,242 : x
  2. Step 2: Convert to fraction form
    89,307/133,920.36 = 64,242/x
  3. Step 3: Cross multiply
    89,307x = 133,920.36 × 64,242
  4. Step 4: Simplify right side
    89,307x = 8,603,311,767.12
  5. Step 5: Solve for x
    x = 8,603,311,767.12/89,307
  6. Step 6: Final answer
    x = 96,334.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.