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Finding the Fourth Proportional to 105,536.40, 157,997.40 and 102,464.40

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Solution

The fourth proportional to 105,536.40, 157,997.40 and 102,464.40 is: 153,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,536.40 : 157,997.40 = 102,464.40 : x
  2. Step 2: Convert to fraction form
    105,536.40/157,997.40 = 102,464.40/x
  3. Step 3: Cross multiply
    105,536.40x = 157,997.40 × 102,464.40
  4. Step 4: Simplify right side
    105,536.40x = 16,189,108,792.56
  5. Step 5: Solve for x
    x = 16,189,108,792.56/105,536.40
  6. Step 6: Final answer
    x = 153,398.34

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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.