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Finding the Fourth Proportional to 174,543.80, 261,642.90 and 85,724.60

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Solution

The fourth proportional to 174,543.80, 261,642.90 and 85,724.60 is: 128,502.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,543.80 : 261,642.90 = 85,724.60 : x
  2. Step 2: Convert to fraction form
    174,543.80/261,642.90 = 85,724.60/x
  3. Step 3: Cross multiply
    174,543.80x = 261,642.90 × 85,724.60
  4. Step 4: Simplify right side
    174,543.80x = 22,429,232,945.34
  5. Step 5: Solve for x
    x = 22,429,232,945.34/174,543.80
  6. Step 6: Final answer
    x = 128,502.03

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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.