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Finding the Fourth Proportional to 152,998, 211,157.04 and 85,930

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Solution

The fourth proportional to 152,998, 211,157.04 and 85,930 is: 118,594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,998 : 211,157.04 = 85,930 : x
  2. Step 2: Convert to fraction form
    152,998/211,157.04 = 85,930/x
  3. Step 3: Cross multiply
    152,998x = 211,157.04 × 85,930
  4. Step 4: Simplify right side
    152,998x = 18,144,724,447.20
  5. Step 5: Solve for x
    x = 18,144,724,447.20/152,998
  6. Step 6: Final answer
    x = 118,594.52

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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.