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Finding the Fourth Proportional to 97,930, 135,184.74 and 66,141.96

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Solution

The fourth proportional to 97,930, 135,184.74 and 66,141.96 is: 91,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,930 : 135,184.74 = 66,141.96 : x
  2. Step 2: Convert to fraction form
    97,930/135,184.74 = 66,141.96/x
  3. Step 3: Cross multiply
    97,930x = 135,184.74 × 66,141.96
  4. Step 4: Simplify right side
    97,930x = 8,941,382,989.77
  5. Step 5: Solve for x
    x = 8,941,382,989.77/97,930
  6. Step 6: Final answer
    x = 91,303.82

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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.