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Finding the Fourth Proportional to 116,419.92, 160,672.80 and 64,742.16

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Solution

The fourth proportional to 116,419.92, 160,672.80 and 64,742.16 is: 89,351.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,419.92 : 160,672.80 = 64,742.16 : x
  2. Step 2: Convert to fraction form
    116,419.92/160,672.80 = 64,742.16/x
  3. Step 3: Cross multiply
    116,419.92x = 160,672.80 × 64,742.16
  4. Step 4: Simplify right side
    116,419.92x = 10,402,304,125.25
  5. Step 5: Solve for x
    x = 10,402,304,125.25/116,419.92
  6. Step 6: Final answer
    x = 89,351.58

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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.