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Finding the Fourth Proportional to 70,854.84, 106,288.38 and 18,263.88

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Solution

The fourth proportional to 70,854.84, 106,288.38 and 18,263.88 is: 27,397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,854.84 : 106,288.38 = 18,263.88 : x
  2. Step 2: Convert to fraction form
    70,854.84/106,288.38 = 18,263.88/x
  3. Step 3: Cross multiply
    70,854.84x = 106,288.38 × 18,263.88
  4. Step 4: Simplify right side
    70,854.84x = 1,941,238,217.71
  5. Step 5: Solve for x
    x = 1,941,238,217.71/70,854.84
  6. Step 6: Final answer
    x = 27,397.40

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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.