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Finding the Fourth Proportional to 137,145.36, 205,531.20 and 83,856

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Solution

The fourth proportional to 137,145.36, 205,531.20 and 83,856 is: 125,669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,145.36 : 205,531.20 = 83,856 : x
  2. Step 2: Convert to fraction form
    137,145.36/205,531.20 = 83,856/x
  3. Step 3: Cross multiply
    137,145.36x = 205,531.20 × 83,856
  4. Step 4: Simplify right side
    137,145.36x = 17,235,024,307.20
  5. Step 5: Solve for x
    x = 17,235,024,307.20/137,145.36
  6. Step 6: Final answer
    x = 125,669.76

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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.