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Finding the Fourth Proportional to 64,511.72, 89,018.32 and 36,211.40

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Solution

The fourth proportional to 64,511.72, 89,018.32 and 36,211.40 is: 49,967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,511.72 : 89,018.32 = 36,211.40 : x
  2. Step 2: Convert to fraction form
    64,511.72/89,018.32 = 36,211.40/x
  3. Step 3: Cross multiply
    64,511.72x = 89,018.32 × 36,211.40
  4. Step 4: Simplify right side
    64,511.72x = 3,223,477,992.85
  5. Step 5: Solve for x
    x = 3,223,477,992.85/64,511.72
  6. Step 6: Final answer
    x = 49,967.32

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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.