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Finding the Fourth Proportional to 117,881.70, 176,707.35 and 105,440.10

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Solution

The fourth proportional to 117,881.70, 176,707.35 and 105,440.10 is: 158,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,881.70 : 176,707.35 = 105,440.10 : x
  2. Step 2: Convert to fraction form
    117,881.70/176,707.35 = 105,440.10/x
  3. Step 3: Cross multiply
    117,881.70x = 176,707.35 × 105,440.10
  4. Step 4: Simplify right side
    117,881.70x = 18,632,040,654.74
  5. Step 5: Solve for x
    x = 18,632,040,654.74/117,881.70
  6. Step 6: Final answer
    x = 158,057.11

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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.