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Finding the Fourth Proportional to 117,728.40, 176,333.40 and 102,176.40

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Solution

The fourth proportional to 117,728.40, 176,333.40 and 102,176.40 is: 153,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,728.40 : 176,333.40 = 102,176.40 : x
  2. Step 2: Convert to fraction form
    117,728.40/176,333.40 = 102,176.40/x
  3. Step 3: Cross multiply
    117,728.40x = 176,333.40 × 102,176.40
  4. Step 4: Simplify right side
    117,728.40x = 18,017,112,011.76
  5. Step 5: Solve for x
    x = 18,017,112,011.76/117,728.40
  6. Step 6: Final answer
    x = 153,039.64

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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.