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Finding the Fourth Proportional to 170,516, 255,877.68 and 72,020

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Solution

The fourth proportional to 170,516, 255,877.68 and 72,020 is: 108,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,516 : 255,877.68 = 72,020 : x
  2. Step 2: Convert to fraction form
    170,516/255,877.68 = 72,020/x
  3. Step 3: Cross multiply
    170,516x = 255,877.68 × 72,020
  4. Step 4: Simplify right side
    170,516x = 18,428,310,513.60
  5. Step 5: Solve for x
    x = 18,428,310,513.60/170,516
  6. Step 6: Final answer
    x = 108,073.79

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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.