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Finding the Fourth Proportional to 136,903.28, 205,354.78 and 51,530.08

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Solution

The fourth proportional to 136,903.28, 205,354.78 and 51,530.08 is: 77,295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,903.28 : 205,354.78 = 51,530.08 : x
  2. Step 2: Convert to fraction form
    136,903.28/205,354.78 = 51,530.08/x
  3. Step 3: Cross multiply
    136,903.28x = 205,354.78 × 51,530.08
  4. Step 4: Simplify right side
    136,903.28x = 10,581,948,241.78
  5. Step 5: Solve for x
    x = 10,581,948,241.78/136,903.28
  6. Step 6: Final answer
    x = 77,295.07

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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.