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Finding the Fourth Proportional to 208,123.01, 287,178.87 and 126,408.77

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Solution

The fourth proportional to 208,123.01, 287,178.87 and 126,408.77 is: 174,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,123.01 : 287,178.87 = 126,408.77 : x
  2. Step 2: Convert to fraction form
    208,123.01/287,178.87 = 126,408.77/x
  3. Step 3: Cross multiply
    208,123.01x = 287,178.87 × 126,408.77
  4. Step 4: Simplify right side
    208,123.01x = 36,301,927,726.69
  5. Step 5: Solve for x
    x = 36,301,927,726.69/208,123.01
  6. Step 6: Final answer
    x = 174,425.34

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1.5x scale

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.