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Finding the Fourth Proportional to 170,855.10, 256,205.85 and 65,639.10

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Solution

The fourth proportional to 170,855.10, 256,205.85 and 65,639.10 is: 98,429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,855.10 : 256,205.85 = 65,639.10 : x
  2. Step 2: Convert to fraction form
    170,855.10/256,205.85 = 65,639.10/x
  3. Step 3: Cross multiply
    170,855.10x = 256,205.85 × 65,639.10
  4. Step 4: Simplify right side
    170,855.10x = 16,817,121,408.74
  5. Step 5: Solve for x
    x = 16,817,121,408.74/170,855.10
  6. Step 6: Final answer
    x = 98,429.14

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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.