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Finding the Fourth Proportional to 135,877.68, 203,816.52 and 42,390.72

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Solution

The fourth proportional to 135,877.68, 203,816.52 and 42,390.72 is: 63,586.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,877.68 : 203,816.52 = 42,390.72 : x
  2. Step 2: Convert to fraction form
    135,877.68/203,816.52 = 42,390.72/x
  3. Step 3: Cross multiply
    135,877.68x = 203,816.52 × 42,390.72
  4. Step 4: Simplify right side
    135,877.68x = 8,639,929,030.69
  5. Step 5: Solve for x
    x = 8,639,929,030.69/135,877.68
  6. Step 6: Final answer
    x = 63,586.08

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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.