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Finding the Fourth Proportional to 103,625.10, 155,476.05 and 99,785.10

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Solution

The fourth proportional to 103,625.10, 155,476.05 and 99,785.10 is: 149,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,625.10 : 155,476.05 = 99,785.10 : x
  2. Step 2: Convert to fraction form
    103,625.10/155,476.05 = 99,785.10/x
  3. Step 3: Cross multiply
    103,625.10x = 155,476.05 × 99,785.10
  4. Step 4: Simplify right side
    103,625.10x = 15,514,193,196.86
  5. Step 5: Solve for x
    x = 15,514,193,196.86/103,625.10
  6. Step 6: Final answer
    x = 149,714.63

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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.