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Finding the Fourth Proportional to 153,188.82, 211,397.53 and 85,204.33

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Solution

The fourth proportional to 153,188.82, 211,397.53 and 85,204.33 is: 117,580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,188.82 : 211,397.53 = 85,204.33 : x
  2. Step 2: Convert to fraction form
    153,188.82/211,397.53 = 85,204.33/x
  3. Step 3: Cross multiply
    153,188.82x = 211,397.53 × 85,204.33
  4. Step 4: Simplify right side
    153,188.82x = 18,011,984,907.30
  5. Step 5: Solve for x
    x = 18,011,984,907.30/153,188.82
  6. Step 6: Final answer
    x = 117,580.28

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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.