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Finding the Fourth Proportional to 108,698.22, 149,934.51 and 78,527.88

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Solution

The fourth proportional to 108,698.22, 149,934.51 and 78,527.88 is: 108,318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,698.22 : 149,934.51 = 78,527.88 : x
  2. Step 2: Convert to fraction form
    108,698.22/149,934.51 = 78,527.88/x
  3. Step 3: Cross multiply
    108,698.22x = 149,934.51 × 78,527.88
  4. Step 4: Simplify right side
    108,698.22x = 11,774,039,209.14
  5. Step 5: Solve for x
    x = 11,774,039,209.14/108,698.22
  6. Step 6: Final answer
    x = 108,318.60

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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.