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Finding the Fourth Proportional to 203,459.83, 280,781.51 and 112,810.50

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Solution

The fourth proportional to 203,459.83, 280,781.51 and 112,810.50 is: 155,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,459.83 : 280,781.51 = 112,810.50 : x
  2. Step 2: Convert to fraction form
    203,459.83/280,781.51 = 112,810.50/x
  3. Step 3: Cross multiply
    203,459.83x = 280,781.51 × 112,810.50
  4. Step 4: Simplify right side
    203,459.83x = 31,675,101,969.80
  5. Step 5: Solve for x
    x = 31,675,101,969.80/203,459.83
  6. Step 6: Final answer
    x = 155,682.34

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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.