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Finding the Fourth Proportional to 117,878.40, 176,812.80 and 51,318.24

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Solution

The fourth proportional to 117,878.40, 176,812.80 and 51,318.24 is: 76,975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,878.40 : 176,812.80 = 51,318.24 : x
  2. Step 2: Convert to fraction form
    117,878.40/176,812.80 = 51,318.24/x
  3. Step 3: Cross multiply
    117,878.40x = 176,812.80 × 51,318.24
  4. Step 4: Simplify right side
    117,878.40x = 9,073,721,705.47
  5. Step 5: Solve for x
    x = 9,073,721,705.47/117,878.40
  6. Step 6: Final answer
    x = 76,975.27

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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.