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Finding the Fourth Proportional to 83,135.95, 114,746.30 and 54,438.95

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Solution

The fourth proportional to 83,135.95, 114,746.30 and 54,438.95 is: 75,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,135.95 : 114,746.30 = 54,438.95 : x
  2. Step 2: Convert to fraction form
    83,135.95/114,746.30 = 54,438.95/x
  3. Step 3: Cross multiply
    83,135.95x = 114,746.30 × 54,438.95
  4. Step 4: Simplify right side
    83,135.95x = 6,246,667,514.65
  5. Step 5: Solve for x
    x = 6,246,667,514.65/83,135.95
  6. Step 6: Final answer
    x = 75,137.98

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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.