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Finding the Fourth Proportional to 102,415.75, 153,623.40 and 27,535.90

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Solution

The fourth proportional to 102,415.75, 153,623.40 and 27,535.90 is: 41,303.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,415.75 : 153,623.40 = 27,535.90 : x
  2. Step 2: Convert to fraction form
    102,415.75/153,623.40 = 27,535.90/x
  3. Step 3: Cross multiply
    102,415.75x = 153,623.40 × 27,535.90
  4. Step 4: Simplify right side
    102,415.75x = 4,230,158,580.06
  5. Step 5: Solve for x
    x = 4,230,158,580.06/102,415.75
  6. Step 6: Final answer
    x = 41,303.79

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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.