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Finding the Fourth Proportional to 201,461, 278,022.30 and 110,812.28

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Solution

The fourth proportional to 201,461, 278,022.30 and 110,812.28 is: 152,924.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,461 : 278,022.30 = 110,812.28 : x
  2. Step 2: Convert to fraction form
    201,461/278,022.30 = 110,812.28/x
  3. Step 3: Cross multiply
    201,461x = 278,022.30 × 110,812.28
  4. Step 4: Simplify right side
    201,461x = 30,808,284,953.84
  5. Step 5: Solve for x
    x = 30,808,284,953.84/201,461
  6. Step 6: Final answer
    x = 152,924.31

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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.