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Finding the Fourth Proportional to 153,104.22, 211,290.86 and 85,128.17

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Solution

The fourth proportional to 153,104.22, 211,290.86 and 85,128.17 is: 117,480.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,104.22 : 211,290.86 = 85,128.17 : x
  2. Step 2: Convert to fraction form
    153,104.22/211,290.86 = 85,128.17/x
  3. Step 3: Cross multiply
    153,104.22x = 211,290.86 × 85,128.17
  4. Step 4: Simplify right side
    153,104.22x = 17,986,804,352.11
  5. Step 5: Solve for x
    x = 17,986,804,352.11/153,104.22
  6. Step 6: Final answer
    x = 117,480.79

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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.