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Finding the Fourth Proportional to 64,889.84, 89,549.28 and 36,590

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Solution

The fourth proportional to 64,889.84, 89,549.28 and 36,590 is: 50,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,889.84 : 89,549.28 = 36,590 : x
  2. Step 2: Convert to fraction form
    64,889.84/89,549.28 = 36,590/x
  3. Step 3: Cross multiply
    64,889.84x = 89,549.28 × 36,590
  4. Step 4: Simplify right side
    64,889.84x = 3,276,608,155.20
  5. Step 5: Solve for x
    x = 3,276,608,155.20/64,889.84
  6. Step 6: Final answer
    x = 50,494.93

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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.