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Finding the Fourth Proportional to 114,431.60, 157,921.02 and 71,436.56

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Solution

The fourth proportional to 114,431.60, 157,921.02 and 71,436.56 is: 98,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,431.60 : 157,921.02 = 71,436.56 : x
  2. Step 2: Convert to fraction form
    114,431.60/157,921.02 = 71,436.56/x
  3. Step 3: Cross multiply
    114,431.60x = 157,921.02 × 71,436.56
  4. Step 4: Simplify right side
    114,431.60x = 11,281,334,420.49
  5. Step 5: Solve for x
    x = 11,281,334,420.49/114,431.60
  6. Step 6: Final answer
    x = 98,585.83

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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.