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Finding the Fourth Proportional to 153,378, 211,661.64 and 86,311.44

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Solution

The fourth proportional to 153,378, 211,661.64 and 86,311.44 is: 119,109.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,378 : 211,661.64 = 86,311.44 : x
  2. Step 2: Convert to fraction form
    153,378/211,661.64 = 86,311.44/x
  3. Step 3: Cross multiply
    153,378x = 211,661.64 × 86,311.44
  4. Step 4: Simplify right side
    153,378x = 18,268,820,941.16
  5. Step 5: Solve for x
    x = 18,268,820,941.16/153,378
  6. Step 6: Final answer
    x = 119,109.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.