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Finding the Fourth Proportional to 115,309.70, 172,964.55 and 91,981.70

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Solution

The fourth proportional to 115,309.70, 172,964.55 and 91,981.70 is: 137,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,309.70 : 172,964.55 = 91,981.70 : x
  2. Step 2: Convert to fraction form
    115,309.70/172,964.55 = 91,981.70/x
  3. Step 3: Cross multiply
    115,309.70x = 172,964.55 × 91,981.70
  4. Step 4: Simplify right side
    115,309.70x = 15,909,573,348.74
  5. Step 5: Solve for x
    x = 15,909,573,348.74/115,309.70
  6. Step 6: Final answer
    x = 137,972.55

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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.