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Finding the Fourth Proportional to 89,216, 133,875.84 and 39,968

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Solution

The fourth proportional to 89,216, 133,875.84 and 39,968 is: 59,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,216 : 133,875.84 = 39,968 : x
  2. Step 2: Convert to fraction form
    89,216/133,875.84 = 39,968/x
  3. Step 3: Cross multiply
    89,216x = 133,875.84 × 39,968
  4. Step 4: Simplify right side
    89,216x = 5,350,749,573.12
  5. Step 5: Solve for x
    x = 5,350,749,573.12/89,216
  6. Step 6: Final answer
    x = 59,975.22

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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.