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Finding the Fourth Proportional to 201,538.64, 278,115.72 and 112,120.40

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Solution

The fourth proportional to 201,538.64, 278,115.72 and 112,120.40 is: 154,721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,538.64 : 278,115.72 = 112,120.40 : x
  2. Step 2: Convert to fraction form
    201,538.64/278,115.72 = 112,120.40/x
  3. Step 3: Cross multiply
    201,538.64x = 278,115.72 × 112,120.40
  4. Step 4: Simplify right side
    201,538.64x = 31,182,445,772.69
  5. Step 5: Solve for x
    x = 31,182,445,772.69/201,538.64
  6. Step 6: Final answer
    x = 154,721.92

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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.