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Finding the Fourth Proportional to 212,709.90, 293,535.87 and 115,914.60

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Solution

The fourth proportional to 212,709.90, 293,535.87 and 115,914.60 is: 159,960.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,709.90 : 293,535.87 = 115,914.60 : x
  2. Step 2: Convert to fraction form
    212,709.90/293,535.87 = 115,914.60/x
  3. Step 3: Cross multiply
    212,709.90x = 293,535.87 × 115,914.60
  4. Step 4: Simplify right side
    212,709.90x = 34,025,092,522.02
  5. Step 5: Solve for x
    x = 34,025,092,522.02/212,709.90
  6. Step 6: Final answer
    x = 159,960.08

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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.