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Finding the Fourth Proportional to 213,409.62, 320,073.35 and 99,526.17

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Solution

The fourth proportional to 213,409.62, 320,073.35 and 99,526.17 is: 149,270.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,409.62 : 320,073.35 = 99,526.17 : x
  2. Step 2: Convert to fraction form
    213,409.62/320,073.35 = 99,526.17/x
  3. Step 3: Cross multiply
    213,409.62x = 320,073.35 × 99,526.17
  4. Step 4: Simplify right side
    213,409.62x = 31,855,673,293.02
  5. Step 5: Solve for x
    x = 31,855,673,293.02/213,409.62
  6. Step 6: Final answer
    x = 149,270.09

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1.5x scale

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.