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Finding the Fourth Proportional to 114,638.80, 172,006.80 and 72,551.20

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Solution

The fourth proportional to 114,638.80, 172,006.80 and 72,551.20 is: 108,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,638.80 : 172,006.80 = 72,551.20 : x
  2. Step 2: Convert to fraction form
    114,638.80/172,006.80 = 72,551.20/x
  3. Step 3: Cross multiply
    114,638.80x = 172,006.80 × 72,551.20
  4. Step 4: Simplify right side
    114,638.80x = 12,479,299,748.16
  5. Step 5: Solve for x
    x = 12,479,299,748.16/114,638.80
  6. Step 6: Final answer
    x = 108,857.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.