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Finding the Fourth Proportional to 202,975.12, 280,106.21 and 112,337.34

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Solution

The fourth proportional to 202,975.12, 280,106.21 and 112,337.34 is: 155,025.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,975.12 : 280,106.21 = 112,337.34 : x
  2. Step 2: Convert to fraction form
    202,975.12/280,106.21 = 112,337.34/x
  3. Step 3: Cross multiply
    202,975.12x = 280,106.21 × 112,337.34
  4. Step 4: Simplify right side
    202,975.12x = 31,466,386,548.88
  5. Step 5: Solve for x
    x = 31,466,386,548.88/202,975.12
  6. Step 6: Final answer
    x = 155,025.83

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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.