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Finding the Fourth Proportional to 145,448.14, 200,711.10 and 81,782.14

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Solution

The fourth proportional to 145,448.14, 200,711.10 and 81,782.14 is: 112,855.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,448.14 : 200,711.10 = 81,782.14 : x
  2. Step 2: Convert to fraction form
    145,448.14/200,711.10 = 81,782.14/x
  3. Step 3: Cross multiply
    145,448.14x = 200,711.10 × 81,782.14
  4. Step 4: Simplify right side
    145,448.14x = 16,414,583,279.75
  5. Step 5: Solve for x
    x = 16,414,583,279.75/145,448.14
  6. Step 6: Final answer
    x = 112,855.23

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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.