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Finding the Fourth Proportional to 208,122.01, 287,177.49 and 126,407.77

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Solution

The fourth proportional to 208,122.01, 287,177.49 and 126,407.77 is: 174,423.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,122.01 : 287,177.49 = 126,407.77 : x
  2. Step 2: Convert to fraction form
    208,122.01/287,177.49 = 126,407.77/x
  3. Step 3: Cross multiply
    208,122.01x = 287,177.49 × 126,407.77
  4. Step 4: Simplify right side
    208,122.01x = 36,301,466,105.10
  5. Step 5: Solve for x
    x = 36,301,466,105.10/208,122.01
  6. Step 6: Final answer
    x = 174,423.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.