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Finding the Fourth Proportional to 170,146.81, 255,378.10 and 85,966.11

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Solution

The fourth proportional to 170,146.81, 255,378.10 and 85,966.11 is: 129,028.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,146.81 : 255,378.10 = 85,966.11 : x
  2. Step 2: Convert to fraction form
    170,146.81/255,378.10 = 85,966.11/x
  3. Step 3: Cross multiply
    170,146.81x = 255,378.10 × 85,966.11
  4. Step 4: Simplify right side
    170,146.81x = 21,953,861,782.46
  5. Step 5: Solve for x
    x = 21,953,861,782.46/170,146.81
  6. Step 6: Final answer
    x = 129,028.93

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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.