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Finding the Fourth Proportional to 89,316, 133,933.86 and 64,251

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Solution

The fourth proportional to 89,316, 133,933.86 and 64,251 is: 96,347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,316 : 133,933.86 = 64,251 : x
  2. Step 2: Convert to fraction form
    89,316/133,933.86 = 64,251/x
  3. Step 3: Cross multiply
    89,316x = 133,933.86 × 64,251
  4. Step 4: Simplify right side
    89,316x = 8,605,384,438.86
  5. Step 5: Solve for x
    x = 8,605,384,438.86/89,316
  6. Step 6: Final answer
    x = 96,347.62

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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.