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Finding the Fourth Proportional to 211,754.16, 317,755.19 and 78,726.24

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Solution

The fourth proportional to 211,754.16, 317,755.19 and 78,726.24 is: 118,135.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,754.16 : 317,755.19 = 78,726.24 : x
  2. Step 2: Convert to fraction form
    211,754.16/317,755.19 = 78,726.24/x
  3. Step 3: Cross multiply
    211,754.16x = 317,755.19 × 78,726.24
  4. Step 4: Simplify right side
    211,754.16x = 25,015,670,955.55
  5. Step 5: Solve for x
    x = 25,015,670,955.55/211,754.16
  6. Step 6: Final answer
    x = 118,135.44

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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.