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Finding the Fourth Proportional to 153,194.64, 211,405.56 and 85,209.28

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Solution

The fourth proportional to 153,194.64, 211,405.56 and 85,209.28 is: 117,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,194.64 : 211,405.56 = 85,209.28 : x
  2. Step 2: Convert to fraction form
    153,194.64/211,405.56 = 85,209.28/x
  3. Step 3: Cross multiply
    153,194.64x = 211,405.56 × 85,209.28
  4. Step 4: Simplify right side
    153,194.64x = 18,013,715,555.60
  5. Step 5: Solve for x
    x = 18,013,715,555.60/153,194.64
  6. Step 6: Final answer
    x = 117,587.11

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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.