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Finding the Fourth Proportional to 115,114.34, 172,536.78 and 43,990.40

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Solution

The fourth proportional to 115,114.34, 172,536.78 and 43,990.40 is: 65,934.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,114.34 : 172,536.78 = 43,990.40 : x
  2. Step 2: Convert to fraction form
    115,114.34/172,536.78 = 43,990.40/x
  3. Step 3: Cross multiply
    115,114.34x = 172,536.78 × 43,990.40
  4. Step 4: Simplify right side
    115,114.34x = 7,589,961,966.91
  5. Step 5: Solve for x
    x = 7,589,961,966.91/115,114.34
  6. Step 6: Final answer
    x = 65,934.11

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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.