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Finding the Fourth Proportional to 130,658.67, 195,740.75 and 77,190.77

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Solution

The fourth proportional to 130,658.67, 195,740.75 and 77,190.77 is: 115,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,658.67 : 195,740.75 = 77,190.77 : x
  2. Step 2: Convert to fraction form
    130,658.67/195,740.75 = 77,190.77/x
  3. Step 3: Cross multiply
    130,658.67x = 195,740.75 × 77,190.77
  4. Step 4: Simplify right side
    130,658.67x = 15,109,379,895.21
  5. Step 5: Solve for x
    x = 15,109,379,895.21/130,658.67
  6. Step 6: Final answer
    x = 115,640.09

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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.