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Finding the Fourth Proportional to 64,992, 89,688.96 and 35,184

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Solution

The fourth proportional to 64,992, 89,688.96 and 35,184 is: 48,553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,992 : 89,688.96 = 35,184 : x
  2. Step 2: Convert to fraction form
    64,992/89,688.96 = 35,184/x
  3. Step 3: Cross multiply
    64,992x = 89,688.96 × 35,184
  4. Step 4: Simplify right side
    64,992x = 3,155,616,368.64
  5. Step 5: Solve for x
    x = 3,155,616,368.64/64,992
  6. Step 6: Final answer
    x = 48,553.92

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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.