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Finding the Fourth Proportional to 137,093.77, 205,701.95 and 87,160.51

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Solution

The fourth proportional to 137,093.77, 205,701.95 and 87,160.51 is: 130,779.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,093.77 : 205,701.95 = 87,160.51 : x
  2. Step 2: Convert to fraction form
    137,093.77/205,701.95 = 87,160.51/x
  3. Step 3: Cross multiply
    137,093.77x = 205,701.95 × 87,160.51
  4. Step 4: Simplify right side
    137,093.77x = 17,929,086,869.99
  5. Step 5: Solve for x
    x = 17,929,086,869.99/137,093.77
  6. Step 6: Final answer
    x = 130,779.73

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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.