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Finding the Fourth Proportional to 97,900.08, 135,123.84 and 55,482

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Solution

The fourth proportional to 97,900.08, 135,123.84 and 55,482 is: 76,577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,900.08 : 135,123.84 = 55,482 : x
  2. Step 2: Convert to fraction form
    97,900.08/135,123.84 = 55,482/x
  3. Step 3: Cross multiply
    97,900.08x = 135,123.84 × 55,482
  4. Step 4: Simplify right side
    97,900.08x = 7,496,940,890.88
  5. Step 5: Solve for x
    x = 7,496,940,890.88/97,900.08
  6. Step 6: Final answer
    x = 76,577.47

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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.