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Finding the Fourth Proportional to 114,956, 172,267.08 and 81,742.88

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Solution

The fourth proportional to 114,956, 172,267.08 and 81,742.88 is: 122,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,956 : 172,267.08 = 81,742.88 : x
  2. Step 2: Convert to fraction form
    114,956/172,267.08 = 81,742.88/x
  3. Step 3: Cross multiply
    114,956x = 172,267.08 × 81,742.88
  4. Step 4: Simplify right side
    114,956x = 14,081,607,248.39
  5. Step 5: Solve for x
    x = 14,081,607,248.39/114,956
  6. Step 6: Final answer
    x = 122,495.63

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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.