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Finding the Fourth Proportional to 174,309.70, 261,637.35 and 85,663.30

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Solution

The fourth proportional to 174,309.70, 261,637.35 and 85,663.30 is: 128,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,309.70 : 261,637.35 = 85,663.30 : x
  2. Step 2: Convert to fraction form
    174,309.70/261,637.35 = 85,663.30/x
  3. Step 3: Cross multiply
    174,309.70x = 261,637.35 × 85,663.30
  4. Step 4: Simplify right side
    174,309.70x = 22,412,718,804.26
  5. Step 5: Solve for x
    x = 22,412,718,804.26/174,309.70
  6. Step 6: Final answer
    x = 128,579.87

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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.