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Finding the Fourth Proportional to 105,343.80, 157,785.30 and 81,785.40

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Solution

The fourth proportional to 105,343.80, 157,785.30 and 81,785.40 is: 122,499.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,343.80 : 157,785.30 = 81,785.40 : x
  2. Step 2: Convert to fraction form
    105,343.80/157,785.30 = 81,785.40/x
  3. Step 3: Cross multiply
    105,343.80x = 157,785.30 × 81,785.40
  4. Step 4: Simplify right side
    105,343.80x = 12,904,533,874.62
  5. Step 5: Solve for x
    x = 12,904,533,874.62/105,343.80
  6. Step 6: Final answer
    x = 122,499.23

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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.