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Finding the Fourth Proportional to 152,057.75, 209,840.15 and 84,989.75

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Solution

The fourth proportional to 152,057.75, 209,840.15 and 84,989.75 is: 117,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,057.75 : 209,840.15 = 84,989.75 : x
  2. Step 2: Convert to fraction form
    152,057.75/209,840.15 = 84,989.75/x
  3. Step 3: Cross multiply
    152,057.75x = 209,840.15 × 84,989.75
  4. Step 4: Simplify right side
    152,057.75x = 17,834,261,051.74
  5. Step 5: Solve for x
    x = 17,834,261,051.74/152,057.75
  6. Step 6: Final answer
    x = 117,286.11

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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.