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Finding the Fourth Proportional to 97,121.60, 145,390.80 and 57,658.40

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Solution

The fourth proportional to 97,121.60, 145,390.80 and 57,658.40 is: 86,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,121.60 : 145,390.80 = 57,658.40 : x
  2. Step 2: Convert to fraction form
    97,121.60/145,390.80 = 57,658.40/x
  3. Step 3: Cross multiply
    97,121.60x = 145,390.80 × 57,658.40
  4. Step 4: Simplify right side
    97,121.60x = 8,383,000,902.72
  5. Step 5: Solve for x
    x = 8,383,000,902.72/97,121.60
  6. Step 6: Final answer
    x = 86,314.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.