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Finding the Fourth Proportional to 105,697.43, 145,871.65 and 57,960.08

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Solution

The fourth proportional to 105,697.43, 145,871.65 and 57,960.08 is: 79,989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,697.43 : 145,871.65 = 57,960.08 : x
  2. Step 2: Convert to fraction form
    105,697.43/145,871.65 = 57,960.08/x
  3. Step 3: Cross multiply
    105,697.43x = 145,871.65 × 57,960.08
  4. Step 4: Simplify right side
    105,697.43x = 8,454,732,503.73
  5. Step 5: Solve for x
    x = 8,454,732,503.73/105,697.43
  6. Step 6: Final answer
    x = 79,989.95

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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.