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Finding the Fourth Proportional to 64,516, 89,032.08 and 36,221.68

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Solution

The fourth proportional to 64,516, 89,032.08 and 36,221.68 is: 49,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,516 : 89,032.08 = 36,221.68 : x
  2. Step 2: Convert to fraction form
    64,516/89,032.08 = 36,221.68/x
  3. Step 3: Cross multiply
    64,516x = 89,032.08 × 36,221.68
  4. Step 4: Simplify right side
    64,516x = 3,224,891,511.49
  5. Step 5: Solve for x
    x = 3,224,891,511.49/64,516
  6. Step 6: Final answer
    x = 49,985.92

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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.