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Finding the Fourth Proportional to 135,613, 203,419.50 and 52,507

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Solution

The fourth proportional to 135,613, 203,419.50 and 52,507 is: 78,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,613 : 203,419.50 = 52,507 : x
  2. Step 2: Convert to fraction form
    135,613/203,419.50 = 52,507/x
  3. Step 3: Cross multiply
    135,613x = 203,419.50 × 52,507
  4. Step 4: Simplify right side
    135,613x = 10,680,947,686.50
  5. Step 5: Solve for x
    x = 10,680,947,686.50/135,613
  6. Step 6: Final answer
    x = 78,760.50

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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.