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Finding the Fourth Proportional to 105,249.12, 157,875 and 35,128.44

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Solution

The fourth proportional to 105,249.12, 157,875 and 35,128.44 is: 52,693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,249.12 : 157,875 = 35,128.44 : x
  2. Step 2: Convert to fraction form
    105,249.12/157,875 = 35,128.44/x
  3. Step 3: Cross multiply
    105,249.12x = 157,875 × 35,128.44
  4. Step 4: Simplify right side
    105,249.12x = 5,545,902,465
  5. Step 5: Solve for x
    x = 5,545,902,465/105,249.12
  6. Step 6: Final answer
    x = 52,693.10

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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.