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Finding the Fourth Proportional to 253,792.34, 380,711.99 and 83,015.02

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Solution

The fourth proportional to 253,792.34, 380,711.99 and 83,015.02 is: 124,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,792.34 : 380,711.99 = 83,015.02 : x
  2. Step 2: Convert to fraction form
    253,792.34/380,711.99 = 83,015.02/x
  3. Step 3: Cross multiply
    253,792.34x = 380,711.99 × 83,015.02
  4. Step 4: Simplify right side
    253,792.34x = 31,604,813,464.09
  5. Step 5: Solve for x
    x = 31,604,813,464.09/253,792.34
  6. Step 6: Final answer
    x = 124,530.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.