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Finding the Fourth Proportional to 78,098.94, 117,153.58 and 30,710.30

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Solution

The fourth proportional to 78,098.94, 117,153.58 and 30,710.30 is: 46,067.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,098.94 : 117,153.58 = 30,710.30 : x
  2. Step 2: Convert to fraction form
    78,098.94/117,153.58 = 30,710.30/x
  3. Step 3: Cross multiply
    78,098.94x = 117,153.58 × 30,710.30
  4. Step 4: Simplify right side
    78,098.94x = 3,597,821,587.87
  5. Step 5: Solve for x
    x = 3,597,821,587.87/78,098.94
  6. Step 6: Final answer
    x = 46,067.48

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1.5x scale

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.