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Finding the Fourth Proportional to 135,915.76, 203,783.64 and 64,849.36

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Solution

The fourth proportional to 135,915.76, 203,783.64 and 64,849.36 is: 97,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,915.76 : 203,783.64 = 64,849.36 : x
  2. Step 2: Convert to fraction form
    135,915.76/203,783.64 = 64,849.36/x
  3. Step 3: Cross multiply
    135,915.76x = 203,783.64 × 64,849.36
  4. Step 4: Simplify right side
    135,915.76x = 13,215,238,632.47
  5. Step 5: Solve for x
    x = 13,215,238,632.47/135,915.76
  6. Step 6: Final answer
    x = 97,231.10

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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.