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Finding the Fourth Proportional to 102,135.02, 153,069.41 and 52,173

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Solution

The fourth proportional to 102,135.02, 153,069.41 and 52,173 is: 78,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,135.02 : 153,069.41 = 52,173 : x
  2. Step 2: Convert to fraction form
    102,135.02/153,069.41 = 52,173/x
  3. Step 3: Cross multiply
    102,135.02x = 153,069.41 × 52,173
  4. Step 4: Simplify right side
    102,135.02x = 7,986,090,067.07
  5. Step 5: Solve for x
    x = 7,986,090,067.07/102,135.02
  6. Step 6: Final answer
    x = 78,191.50

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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.