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Finding the Fourth Proportional to 235,749.57, 325,341.43 and 145,157.81

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Solution

The fourth proportional to 235,749.57, 325,341.43 and 145,157.81 is: 200,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,749.57 : 325,341.43 = 145,157.81 : x
  2. Step 2: Convert to fraction form
    235,749.57/325,341.43 = 145,157.81/x
  3. Step 3: Cross multiply
    235,749.57x = 325,341.43 × 145,157.81
  4. Step 4: Simplify right side
    235,749.57x = 47,225,848,755.28
  5. Step 5: Solve for x
    x = 47,225,848,755.28/235,749.57
  6. Step 6: Final answer
    x = 200,322.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.