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Finding the Fourth Proportional to 73,935.32, 102,160.86 and 64,487.48

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Solution

The fourth proportional to 73,935.32, 102,160.86 and 64,487.48 is: 89,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,935.32 : 102,160.86 = 64,487.48 : x
  2. Step 2: Convert to fraction form
    73,935.32/102,160.86 = 64,487.48/x
  3. Step 3: Cross multiply
    73,935.32x = 102,160.86 × 64,487.48
  4. Step 4: Simplify right side
    73,935.32x = 6,588,096,416.03
  5. Step 5: Solve for x
    x = 6,588,096,416.03/73,935.32
  6. Step 6: Final answer
    x = 89,106.21

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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.