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Finding the Fourth Proportional to 153,107.97, 211,296.03 and 85,131.93

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Solution

The fourth proportional to 153,107.97, 211,296.03 and 85,131.93 is: 117,485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,107.97 : 211,296.03 = 85,131.93 : x
  2. Step 2: Convert to fraction form
    153,107.97/211,296.03 = 85,131.93/x
  3. Step 3: Cross multiply
    153,107.97x = 211,296.03 × 85,131.93
  4. Step 4: Simplify right side
    153,107.97x = 17,988,038,835.24
  5. Step 5: Solve for x
    x = 17,988,038,835.24/153,107.97
  6. Step 6: Final answer
    x = 117,485.97

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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.