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Finding the Fourth Proportional to 152,774, 229,167.21 and 72,770.84

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Solution

The fourth proportional to 152,774, 229,167.21 and 72,770.84 is: 109,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,774 : 229,167.21 = 72,770.84 : x
  2. Step 2: Convert to fraction form
    152,774/229,167.21 = 72,770.84/x
  3. Step 3: Cross multiply
    152,774x = 229,167.21 × 72,770.84
  4. Step 4: Simplify right side
    152,774x = 16,676,690,372.16
  5. Step 5: Solve for x
    x = 16,676,690,372.16/152,774
  6. Step 6: Final answer
    x = 109,159.22

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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.