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Finding the Fourth Proportional to 177,678.79, 266,302.81 and 130,494.27

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Solution

The fourth proportional to 177,678.79, 266,302.81 and 130,494.27 is: 195,583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,678.79 : 266,302.81 = 130,494.27 : x
  2. Step 2: Convert to fraction form
    177,678.79/266,302.81 = 130,494.27/x
  3. Step 3: Cross multiply
    177,678.79x = 266,302.81 × 130,494.27
  4. Step 4: Simplify right side
    177,678.79x = 34,750,990,789.90
  5. Step 5: Solve for x
    x = 34,750,990,789.90/177,678.79
  6. Step 6: Final answer
    x = 195,583.23

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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.