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Finding the Fourth Proportional to 83,737.52, 115,511.64 and 53,054.48

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Solution

The fourth proportional to 83,737.52, 115,511.64 and 53,054.48 is: 73,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,737.52 : 115,511.64 = 53,054.48 : x
  2. Step 2: Convert to fraction form
    83,737.52/115,511.64 = 53,054.48/x
  3. Step 3: Cross multiply
    83,737.52x = 115,511.64 × 53,054.48
  4. Step 4: Simplify right side
    83,737.52x = 6,128,409,994.15
  5. Step 5: Solve for x
    x = 6,128,409,994.15/83,737.52
  6. Step 6: Final answer
    x = 73,185.95

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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.