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Finding the Fourth Proportional to 97,859.66, 135,105.93 and 91,828.40

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Solution

The fourth proportional to 97,859.66, 135,105.93 and 91,828.40 is: 126,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,859.66 : 135,105.93 = 91,828.40 : x
  2. Step 2: Convert to fraction form
    97,859.66/135,105.93 = 91,828.40/x
  3. Step 3: Cross multiply
    97,859.66x = 135,105.93 × 91,828.40
  4. Step 4: Simplify right side
    97,859.66x = 12,406,560,706.88
  5. Step 5: Solve for x
    x = 12,406,560,706.88/97,859.66
  6. Step 6: Final answer
    x = 126,779.12

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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.