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Finding the Fourth Proportional to 117,708.80, 176,908.80 and 102,502.40

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Solution

The fourth proportional to 117,708.80, 176,908.80 and 102,502.40 is: 154,054.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,708.80 : 176,908.80 = 102,502.40 : x
  2. Step 2: Convert to fraction form
    117,708.80/176,908.80 = 102,502.40/x
  3. Step 3: Cross multiply
    117,708.80x = 176,908.80 × 102,502.40
  4. Step 4: Simplify right side
    117,708.80x = 18,133,576,581.12
  5. Step 5: Solve for x
    x = 18,133,576,581.12/117,708.80
  6. Step 6: Final answer
    x = 154,054.55

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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.