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Finding the Fourth Proportional to 137,385.09, 189,619.10 and 93,893.76

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Solution

The fourth proportional to 137,385.09, 189,619.10 and 93,893.76 is: 129,592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,385.09 : 189,619.10 = 93,893.76 : x
  2. Step 2: Convert to fraction form
    137,385.09/189,619.10 = 93,893.76/x
  3. Step 3: Cross multiply
    137,385.09x = 189,619.10 × 93,893.76
  4. Step 4: Simplify right side
    137,385.09x = 17,804,050,266.82
  5. Step 5: Solve for x
    x = 17,804,050,266.82/137,385.09
  6. Step 6: Final answer
    x = 129,592.30

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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.