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Finding the Fourth Proportional to 102,901.86, 154,153.05 and 75,835.05

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Solution

The fourth proportional to 102,901.86, 154,153.05 and 75,835.05 is: 113,605.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,901.86 : 154,153.05 = 75,835.05 : x
  2. Step 2: Convert to fraction form
    102,901.86/154,153.05 = 75,835.05/x
  3. Step 3: Cross multiply
    102,901.86x = 154,153.05 × 75,835.05
  4. Step 4: Simplify right side
    102,901.86x = 11,690,204,254.40
  5. Step 5: Solve for x
    x = 11,690,204,254.40/102,901.86
  6. Step 6: Final answer
    x = 113,605.37

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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.