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Finding the Fourth Proportional to 105,392.34, 145,197.36 and 73,505.88

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Solution

The fourth proportional to 105,392.34, 145,197.36 and 73,505.88 is: 101,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,392.34 : 145,197.36 = 73,505.88 : x
  2. Step 2: Convert to fraction form
    105,392.34/145,197.36 = 73,505.88/x
  3. Step 3: Cross multiply
    105,392.34x = 145,197.36 × 73,505.88
  4. Step 4: Simplify right side
    105,392.34x = 10,672,859,720.48
  5. Step 5: Solve for x
    x = 10,672,859,720.48/105,392.34
  6. Step 6: Final answer
    x = 101,267.89

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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.