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Finding the Fourth Proportional to 114,813.12, 158,446.80 and 64,512

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Solution

The fourth proportional to 114,813.12, 158,446.80 and 64,512 is: 89,029.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,813.12 : 158,446.80 = 64,512 : x
  2. Step 2: Convert to fraction form
    114,813.12/158,446.80 = 64,512/x
  3. Step 3: Cross multiply
    114,813.12x = 158,446.80 × 64,512
  4. Step 4: Simplify right side
    114,813.12x = 10,221,719,961.60
  5. Step 5: Solve for x
    x = 10,221,719,961.60/114,813.12
  6. Step 6: Final answer
    x = 89,029.20

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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.