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Finding the Fourth Proportional to 170,606.90, 255,943.14 and 65,417.66

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Solution

The fourth proportional to 170,606.90, 255,943.14 and 65,417.66 is: 98,139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,606.90 : 255,943.14 = 65,417.66 : x
  2. Step 2: Convert to fraction form
    170,606.90/255,943.14 = 65,417.66/x
  3. Step 3: Cross multiply
    170,606.90x = 255,943.14 × 65,417.66
  4. Step 4: Simplify right side
    170,606.90x = 16,743,201,311.85
  5. Step 5: Solve for x
    x = 16,743,201,311.85/170,606.90
  6. Step 6: Final answer
    x = 98,139.06

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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.