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Finding the Fourth Proportional to 137,415.66, 189,645.84 and 76,985.92

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Solution

The fourth proportional to 137,415.66, 189,645.84 and 76,985.92 is: 106,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,415.66 : 189,645.84 = 76,985.92 : x
  2. Step 2: Convert to fraction form
    137,415.66/189,645.84 = 76,985.92/x
  3. Step 3: Cross multiply
    137,415.66x = 189,645.84 × 76,985.92
  4. Step 4: Simplify right side
    137,415.66x = 14,600,059,466.57
  5. Step 5: Solve for x
    x = 14,600,059,466.57/137,415.66
  6. Step 6: Final answer
    x = 106,247.42

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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.