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Finding the Fourth Proportional to 64,971.86, 89,661.15 and 35,163.86

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Solution

The fourth proportional to 64,971.86, 89,661.15 and 35,163.86 is: 48,526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,971.86 : 89,661.15 = 35,163.86 : x
  2. Step 2: Convert to fraction form
    64,971.86/89,661.15 = 35,163.86/x
  3. Step 3: Cross multiply
    64,971.86x = 89,661.15 × 35,163.86
  4. Step 4: Simplify right side
    64,971.86x = 3,152,831,677.73
  5. Step 5: Solve for x
    x = 3,152,831,677.73/64,971.86
  6. Step 6: Final answer
    x = 48,526.11

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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.