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Finding the Fourth Proportional to 139,547.28, 192,583.64 and 82,224.80

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Solution

The fourth proportional to 139,547.28, 192,583.64 and 82,224.80 is: 113,475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,547.28 : 192,583.64 = 82,224.80 : x
  2. Step 2: Convert to fraction form
    139,547.28/192,583.64 = 82,224.80/x
  3. Step 3: Cross multiply
    139,547.28x = 192,583.64 × 82,224.80
  4. Step 4: Simplify right side
    139,547.28x = 15,835,151,282.27
  5. Step 5: Solve for x
    x = 15,835,151,282.27/139,547.28
  6. Step 6: Final answer
    x = 113,475.17

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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.