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Finding the Fourth Proportional to 64,820.81, 89,405.47 and 49,541.88

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Solution

The fourth proportional to 64,820.81, 89,405.47 and 49,541.88 is: 68,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,820.81 : 89,405.47 = 49,541.88 : x
  2. Step 2: Convert to fraction form
    64,820.81/89,405.47 = 49,541.88/x
  3. Step 3: Cross multiply
    64,820.81x = 89,405.47 × 49,541.88
  4. Step 4: Simplify right side
    64,820.81x = 4,429,314,942.23
  5. Step 5: Solve for x
    x = 4,429,314,942.23/64,820.81
  6. Step 6: Final answer
    x = 68,331.68

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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.