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Finding the Fourth Proportional to 114,642, 158,205.96 and 64,341

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Solution

The fourth proportional to 114,642, 158,205.96 and 64,341 is: 88,790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,642 : 158,205.96 = 64,341 : x
  2. Step 2: Convert to fraction form
    114,642/158,205.96 = 64,341/x
  3. Step 3: Cross multiply
    114,642x = 158,205.96 × 64,341
  4. Step 4: Simplify right side
    114,642x = 10,179,129,672.36
  5. Step 5: Solve for x
    x = 10,179,129,672.36/114,642
  6. Step 6: Final answer
    x = 88,790.58

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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.