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Finding the Fourth Proportional to 102,093.90, 153,027.45 and 42,912.06

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Solution

The fourth proportional to 102,093.90, 153,027.45 and 42,912.06 is: 64,320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,093.90 : 153,027.45 = 42,912.06 : x
  2. Step 2: Convert to fraction form
    102,093.90/153,027.45 = 42,912.06/x
  3. Step 3: Cross multiply
    102,093.90x = 153,027.45 × 42,912.06
  4. Step 4: Simplify right side
    102,093.90x = 6,566,723,116.05
  5. Step 5: Solve for x
    x = 6,566,723,116.05/102,093.90
  6. Step 6: Final answer
    x = 64,320.43

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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.