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Finding the Fourth Proportional to 55,433.87, 83,112.86 and 19,894.40

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Solution

The fourth proportional to 55,433.87, 83,112.86 and 19,894.40 is: 29,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,433.87 : 83,112.86 = 19,894.40 : x
  2. Step 2: Convert to fraction form
    55,433.87/83,112.86 = 19,894.40/x
  3. Step 3: Cross multiply
    55,433.87x = 83,112.86 × 19,894.40
  4. Step 4: Simplify right side
    55,433.87x = 1,653,479,966.95
  5. Step 5: Solve for x
    x = 1,653,479,966.95/55,433.87
  6. Step 6: Final answer
    x = 29,827.98

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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.