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Finding the Fourth Proportional to 72,414.80, 99,827.74 and 50,838.86

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Solution

The fourth proportional to 72,414.80, 99,827.74 and 50,838.86 is: 70,084.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,414.80 : 99,827.74 = 50,838.86 : x
  2. Step 2: Convert to fraction form
    72,414.80/99,827.74 = 50,838.86/x
  3. Step 3: Cross multiply
    72,414.80x = 99,827.74 × 50,838.86
  4. Step 4: Simplify right side
    72,414.80x = 5,075,128,497.98
  5. Step 5: Solve for x
    x = 5,075,128,497.98/72,414.80
  6. Step 6: Final answer
    x = 70,084.13

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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.