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Finding the Fourth Proportional to 105,704.52, 145,871.17 and 57,957.75

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Solution

The fourth proportional to 105,704.52, 145,871.17 and 57,957.75 is: 79,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,704.52 : 145,871.17 = 57,957.75 : x
  2. Step 2: Convert to fraction form
    105,704.52/145,871.17 = 57,957.75/x
  3. Step 3: Cross multiply
    105,704.52x = 145,871.17 × 57,957.75
  4. Step 4: Simplify right side
    105,704.52x = 8,454,364,803.07
  5. Step 5: Solve for x
    x = 8,454,364,803.07/105,704.52
  6. Step 6: Final answer
    x = 79,981.11

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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.