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Finding the Fourth Proportional to 78,455.93, 117,682.87 and 19,292.11

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Solution

The fourth proportional to 78,455.93, 117,682.87 and 19,292.11 is: 28,937.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,455.93 : 117,682.87 = 19,292.11 : x
  2. Step 2: Convert to fraction form
    78,455.93/117,682.87 = 19,292.11/x
  3. Step 3: Cross multiply
    78,455.93x = 117,682.87 × 19,292.11
  4. Step 4: Simplify right side
    78,455.93x = 2,270,350,923.80
  5. Step 5: Solve for x
    x = 2,270,350,923.80/78,455.93
  6. Step 6: Final answer
    x = 28,937.91

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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.