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Finding the Fourth Proportional to 152,910.97, 211,017.14 and 85,842.97

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Solution

The fourth proportional to 152,910.97, 211,017.14 and 85,842.97 is: 118,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,910.97 : 211,017.14 = 85,842.97 : x
  2. Step 2: Convert to fraction form
    152,910.97/211,017.14 = 85,842.97/x
  3. Step 3: Cross multiply
    152,910.97x = 211,017.14 × 85,842.97
  4. Step 4: Simplify right side
    152,910.97x = 18,114,337,540.13
  5. Step 5: Solve for x
    x = 18,114,337,540.13/152,910.97
  6. Step 6: Final answer
    x = 118,463.30

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1.5x scale

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.