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Finding the Fourth Proportional to 97,377.76, 134,379.04 and 54,935.20

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Solution

The fourth proportional to 97,377.76, 134,379.04 and 54,935.20 is: 75,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,377.76 : 134,379.04 = 54,935.20 : x
  2. Step 2: Convert to fraction form
    97,377.76/134,379.04 = 54,935.20/x
  3. Step 3: Cross multiply
    97,377.76x = 134,379.04 × 54,935.20
  4. Step 4: Simplify right side
    97,377.76x = 7,382,139,438.21
  5. Step 5: Solve for x
    x = 7,382,139,438.21/97,377.76
  6. Step 6: Final answer
    x = 75,809.30

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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.