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Finding the Fourth Proportional to 105,322.40, 157,983.60 and 35,201.72

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Solution

The fourth proportional to 105,322.40, 157,983.60 and 35,201.72 is: 52,802.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,322.40 : 157,983.60 = 35,201.72 : x
  2. Step 2: Convert to fraction form
    105,322.40/157,983.60 = 35,201.72/x
  3. Step 3: Cross multiply
    105,322.40x = 157,983.60 × 35,201.72
  4. Step 4: Simplify right side
    105,322.40x = 5,561,294,451.79
  5. Step 5: Solve for x
    x = 5,561,294,451.79/105,322.40
  6. Step 6: Final answer
    x = 52,802.58

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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.