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Finding the Fourth Proportional to 201,762.24, 278,432.64 and 112,338.24

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Solution

The fourth proportional to 201,762.24, 278,432.64 and 112,338.24 is: 155,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,762.24 : 278,432.64 = 112,338.24 : x
  2. Step 2: Convert to fraction form
    201,762.24/278,432.64 = 112,338.24/x
  3. Step 3: Cross multiply
    201,762.24x = 278,432.64 × 112,338.24
  4. Step 4: Simplify right side
    201,762.24x = 31,278,632,736.15
  5. Step 5: Solve for x
    x = 31,278,632,736.15/201,762.24
  6. Step 6: Final answer
    x = 155,027.19

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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.