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Finding the Fourth Proportional to 145,185.94, 200,321.54 and 84,722.07

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Solution

The fourth proportional to 145,185.94, 200,321.54 and 84,722.07 is: 116,895.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,185.94 : 200,321.54 = 84,722.07 : x
  2. Step 2: Convert to fraction form
    145,185.94/200,321.54 = 84,722.07/x
  3. Step 3: Cross multiply
    145,185.94x = 200,321.54 × 84,722.07
  4. Step 4: Simplify right side
    145,185.94x = 16,971,654,109.17
  5. Step 5: Solve for x
    x = 16,971,654,109.17/145,185.94
  6. Step 6: Final answer
    x = 116,895.99

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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.