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Finding the Fourth Proportional to 203,415.72, 280,730.26 and 112,800.10

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Solution

The fourth proportional to 203,415.72, 280,730.26 and 112,800.10 is: 155,673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,415.72 : 280,730.26 = 112,800.10 : x
  2. Step 2: Convert to fraction form
    203,415.72/280,730.26 = 112,800.10/x
  3. Step 3: Cross multiply
    203,415.72x = 280,730.26 × 112,800.10
  4. Step 4: Simplify right side
    203,415.72x = 31,666,401,401.03
  5. Step 5: Solve for x
    x = 31,666,401,401.03/203,415.72
  6. Step 6: Final answer
    x = 155,673.32

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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.