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Finding the Fourth Proportional to 102,238.15, 153,580.79 and 72,844.87

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Solution

The fourth proportional to 102,238.15, 153,580.79 and 72,844.87 is: 109,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,238.15 : 153,580.79 = 72,844.87 : x
  2. Step 2: Convert to fraction form
    102,238.15/153,580.79 = 72,844.87/x
  3. Step 3: Cross multiply
    102,238.15x = 153,580.79 × 72,844.87
  4. Step 4: Simplify right side
    102,238.15x = 11,187,572,682.05
  5. Step 5: Solve for x
    x = 11,187,572,682.05/102,238.15
  6. Step 6: Final answer
    x = 109,426.60

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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.