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Finding the Fourth Proportional to 105,021.10, 157,531.65 and 103,638.70

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Solution

The fourth proportional to 105,021.10, 157,531.65 and 103,638.70 is: 155,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,021.10 : 157,531.65 = 103,638.70 : x
  2. Step 2: Convert to fraction form
    105,021.10/157,531.65 = 103,638.70/x
  3. Step 3: Cross multiply
    105,021.10x = 157,531.65 × 103,638.70
  4. Step 4: Simplify right side
    105,021.10x = 16,326,375,414.86
  5. Step 5: Solve for x
    x = 16,326,375,414.86/105,021.10
  6. Step 6: Final answer
    x = 155,458.05

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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.