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Finding the Fourth Proportional to 97,397.94, 134,410.84 and 57,140.66

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Solution

The fourth proportional to 97,397.94, 134,410.84 and 57,140.66 is: 78,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,397.94 : 134,410.84 = 57,140.66 : x
  2. Step 2: Convert to fraction form
    97,397.94/134,410.84 = 57,140.66/x
  3. Step 3: Cross multiply
    97,397.94x = 134,410.84 × 57,140.66
  4. Step 4: Simplify right side
    97,397.94x = 7,680,324,108.75
  5. Step 5: Solve for x
    x = 7,680,324,108.75/97,397.94
  6. Step 6: Final answer
    x = 78,855.10

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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.