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Finding the Fourth Proportional to 122,966.65, 169,700.30 and 75,205

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Solution

The fourth proportional to 122,966.65, 169,700.30 and 75,205 is: 103,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,966.65 : 169,700.30 = 75,205 : x
  2. Step 2: Convert to fraction form
    122,966.65/169,700.30 = 75,205/x
  3. Step 3: Cross multiply
    122,966.65x = 169,700.30 × 75,205
  4. Step 4: Simplify right side
    122,966.65x = 12,762,310,685.48
  5. Step 5: Solve for x
    x = 12,762,310,685.48/122,966.65
  6. Step 6: Final answer
    x = 103,786.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.