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Finding the Fourth Proportional to 102,591.35, 153,941.20 and 72,798.09

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Solution

The fourth proportional to 102,591.35, 153,941.20 and 72,798.09 is: 109,235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,591.35 : 153,941.20 = 72,798.09 : x
  2. Step 2: Convert to fraction form
    102,591.35/153,941.20 = 72,798.09/x
  3. Step 3: Cross multiply
    102,591.35x = 153,941.20 × 72,798.09
  4. Step 4: Simplify right side
    102,591.35x = 11,206,625,797.26
  5. Step 5: Solve for x
    x = 11,206,625,797.26/102,591.35
  6. Step 6: Final answer
    x = 109,235.58

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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.